Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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3. rachel and three friends shared a bag of pretzels. there were 84 pre…
1. The original rectangular figure and the right-side parallelogram figure are the ones with at least one set of parallel sides. 3. 21 pretzels 5. (No correct option shown; the sm…
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what is the area of this figure? 7 in 4 in 4 in 9 in 5 in 2 in 6 in 8 i…
$28 + 55 + 24 = 107$ square inches
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what is the value of a? options: $6\\frac{2}{3}$ units 5 units $5\\frac…
\( 5\frac{1}{3} \) units
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3. find the surface area of the rectangular prism using the net. 4 in 8…
The surface area of the rectangular prism is \(\boldsymbol{160}\) square inches.
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1 angle b is an acute angle in a right triangle. what is a reasonable a…
1. $\boldsymbol{42^\circ}$ (approximate) 2. | Angle | Adjacent Leg $\div$ Hypotenuse | Opposite Leg $\div$ Hypotenuse | Opposite Leg $\div$ Adjacent leg | |-------|---------------…
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a = choose the equation that best solves the area. a. 10 x 5 b. 10 x 6 …
D. \(6\times10\)
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question 6 lesson 5-4 practice (im g7) diagram a -1 x 0 1 a. the value …
To solve this problem, we analyze the number lines (Diagrams A and B) to determine the position of \( x \) relative to other numbers (like \(-1\), \( 0 \), \( 1 \), and \(-\frac{1…
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choose the correct answer. a. area = 8 sq. units b. area = 10 sq. units…
A. area = 8 sq. units
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decide whether or not each equation represents a proportional relations…
yes ### Part b
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8-113. use the angle relationships in the diagram below to determine th…
- \( a = 26^\circ \) (using angle subtraction from \( 63^\circ - 37^\circ \)) - \( b = 91^\circ \) (triangle angle sum: \( 180 - 37 - 52 \)) - \( c = 52^\circ \) (corresponding an…
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at school, the maximum number of students that can be in a classroom is…
B. The number of students that can join the class is at most 8.
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triangle $\\triangle abc$ is the result of dilating $\\triangle abc$ ab…
1. AB and A'B' are on the same line: True 2. AC and A'C' are on distinct parallel lines: False
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7. find the length of the unknown side ( x ). give your answer correct …
$x \approx 2\sqrt{11} \approx 6.63$
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5 cm, \\(\frac{1}{2} \\times \\frac{5}{1} \\times \\frac{5}{1} = \\frac…
El área del triángulo es \( \frac{25}{2} \, \text{cm}^2 \) (o \( 12.5 \, \text{cm}^2 \)).
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solve $-12 \\geq x - 20$. then, graph the solution. what is the solutio…
A. $8 \geq x$ For the graph: Draw a number line, place a closed circle at 8 (since the inequality includes equality), and shade all values to the left of 8 to represent all number…
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question 2 unique id:0545 this is the only question in this section. qu…
\( \boxed{38^\circ} \)
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find the distance between the two points rounding to the nearest tenth …
$7.2$
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we would like to find the hypotenuse in a right triangle with shorter s…
D (7, 24, 25)
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e area of th ramid using 5 cm \\frac{1}{2}\\times5\\times5 =
El área del triángulo (una cara de la pirámide) es $12.5 \, \text{cm}^2$.
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in the diagram, $m\\angle qrs = 133^circ$. diagram of triangle pqr with…
15
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a rectangle is drawn on a grid. below it, there is a multiplication exp…
\( 4 \times 7 = 28 \) \( \text{Area} = 28 \)
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using the diagram in conjunction with postulates and theorems, determin…
\( \boxed{82^\circ} \) (assuming we found \( m\angle 19 \); if the target angle is different, adjust accordingly)
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distance formula quiz problems: find the distance between each pair of …
\( \sqrt{29} \) (or approximately 5.39) ### Problem 2: \((0, 0)\) and \((4, 3)\) ## Step 1: Identify coordinates \( x_1 = 0, y_1 = 0, x_2 = 4, y_2 = 3 \) ## Step 2: Apply distance…
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4. what is the area of the figure below? □ = 2 square units 6. find the…
1. Área de la figura (pregunta 4): 88 unidades cuadradas 2. Lado faltante (pregunta 6): b. 7 in.
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→← gj bisects ∠hgi. complete the proof that hj ≅ ij. triangle with vert…
| Statement | Reason | |-----------|--------| | 1. $\overleftrightarrow{GJ}$ bisects $\angle HGI$ | Given | | 2. $\overline{GI} \cong \overline{GH}$ | Given | | 3. $\angle HGJ \co…
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capitalize it! circle the words that need to be capitalized. the world …
The words that need to be capitalized are: World, Health, Organization, WHO, Ebola.
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2. $y \\leq \\frac{1}{2}x$ $x + y < -4$ (0, -4) ______ (-3, -6) ______ …
For \((0, -4)\): No For \((-3, -6)\): No (as per the given mark, maybe due to graph intersection) For \((-5, 0)\): No
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find the perimeter of the figure. (the figure has dimensions: 3 in., 8 …
40 inches
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5. noreen drew a scale drawing of the local park. the playground, which…
The scale of the drawing is $1:200$, meaning 1 centimeter on the drawing represents 200 centimeters (or 2 meters) in real life.
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4. find the measure of angle x.
$135^\circ$
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type the correct answer in the box. polygon abcde is reflected across t…
1.10
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9. true or false: the triangle is a right triangle. 15 m 9 m 12 m
True
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select the correct answer from each drop - down menu. there are seven l…
First drop - down: line; Second drop - down: a vertex and the midpoint of the opposite side (or similar symmetry - related description, but based on the problem's likely options, …
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8. find the missing side of the right triangle. side c is the hypotenus…
\(\sqrt{10}\) yd
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1. solve for c. $c^2 - 5 = 95$ 2. find the lcm. 9 5 3. write a mixed nu…
1. $c = 10$ or $c = -10$ 2. 45 3. $2\frac{1}{4}$ 4. $135^\circ$ 5. $1:200$ (1 cm on drawing = 200 cm/2 meters in real life)
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the square on the right is a scaled copy of the square on the left. ide…
$\frac{25}{32}$
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7. find the missing side of the right triangle. side c is the hypotenus…
\(2\sqrt{26}\space m\)
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6. find the missing side of the triangle. leave your answers in simples…
\(8\sqrt{3}\) km
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given that \\(\\overrightarrow{eb}\\) bisects \\(\\angle cea\\), which …
- \(m\angle CEA = 90^\circ\) - \(\angle AEF\) is a right angle - \(\angle CEF\) is a straight angle
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given: ∠abc is a right angle, ∠dbc is a straight angle prove: ∠abc ≅ ∠a…
definition of congruent angles
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in the diagram, what is ( mangle vsr )? ( mangle vsr = square^circ )
\( 80^\circ \)
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angle rst is a right angle. angle rsu has a measure of 25°. what is the…
\( 65^\circ \)
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question 3 c. find the perimeter. (there is a parallelogram with top si…
20 mm
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why does the angle-side-side (ass) theorem not work for proving triangl…
The position of the second side is not fixed.
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what number can you multiply each length in the scale drawing by to fin…
2
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in the diagram, what is the measure of ∠wrs? the diagram shows intersec…
\(25^\circ\)
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line jm intersects line gk at point n. which statements are true about …
A. \(\angle GNJ\) is complementary to \(\angle JNK\) E. \(\angle MNL\) is complementary to \(\angle KNL\) (Note: Assuming the options are labeled as A: \(\angle GNJ\) is complemen…
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radical functions and introduction to proof 1. given: ( mangle trv = 60…
angle addition postulate
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given ( l parallel m parallel n ), find the value of ( x ). image of th…
\( x = 20 \)
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if defg is a rhombus, find ( mangle dgf ). the measure of angle dgf is …
\(114^\circ\)
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which theorem is used only for right triangles? hypotenuse-leg (hl) sid…
Hypotenuse-Leg (HL)
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the perimeter of a rectangle is 42.6 feet. one side of the rectangle me…
14.9 feet
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given $m \\parallel n$, find the value of $x$ and $y$. (there is a diag…
\( x = 17 \), \( y = 29 \)
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purchase for her facility. (3) what number can you multiply each length…
\(3\) ### For the second sub - question (Actual length):
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introduction to quadrilaterals (thurs 1/8) if wxyz is an isosceles trap…
$48^{\circ}$
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the perimeter of a rectangle is 47.4 inches. one side measures 16.6 inc…
7.1 inches
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josh drew a square with sides that were 7 inches each. what is the area…
El área del cuadrado de Josh es 49 pulgadas cuadradas.
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josh drew a square with sides that were 7 inches each. what is the area…
The area of Josh's square is 49 square inches. ### Second Sub - Question (Perimeter of Becca's Rug)
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5. create an algebraic expression to represent the area/volume for the …
s: a) \( \boldsymbol{60x^{9}y^{7}} \) b) \( \boldsymbol{20y^{10}} \) c) \( \boldsymbol{96x^{9}y^{8}} \)
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the points given in the table lie on a line. find the slope of each lin…
\(-\frac{5}{2}\) ### Problem 5:
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given $m \\parallel n$, find the value of $x$ and $y$. (7y - 15)° (x - …
\(x = 62\), \(y = 21\)
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in the side-angle-side (sas) theorem, where is the congruent angle loca…
In between the two congruent sides
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2/5 which theorem states that if three pairs of corresponding sides in …
1. Side-Side-Side (SSS)
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question 1 1/5 what does it mean for two figures to be congruent? they …
4. They have the same size and shape.
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the figures shown are similar. find the scale factor from the smaller f…
6
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the figures shown are similar. find the scale factor from the smaller f…
3
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jenny and joe are standing on a riverbank, 220 meters apart, at points …
$87.6^\circ$
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name date personal learning solution: infinite (grade 6 math) distances…
1. Distance: 4 units (y-coordinates) 2. Distance: 9 units (y-coordinates) 3. Distance: 2 units (x-coordinates) 4. Distance: 15 units (x-coordinates)
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a surveyor took some measurements of a piece of land. the owner needs t…
The area of the piece of land is approximately \(\boldsymbol{652}\) square feet (or more precisely \(651.78\) square feet).
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rotating $\\triangle jkl$ by $180^\\circ$ counterclockwise about the or…
\( 180^\circ \) ### Part (b)
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rotating δlmn by 90° clockwise about the origin, we get its image δlmn …
\( 90^\circ \) ### Part (b)
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kuta software - infinite grade 6 math distances on the coordinate plane…
1) Distance: 4 units; Used y-coordinates; Expression: $6 - 2$ 2) Distance: 9 units; Used y-coordinates; Expression: $|3 - (-6)|$ 3) Distance: 4 units; Used x-coordinates; Expressi…
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if abcd is a trapezoid with midsegment ef, find its perimeter. the peri…
86
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rotating $\triangle abk$ by $90^circ$ counterclockwise about the origin…
### Part (a) To find the lengths \( CA \), \( CA' \), \( CB \), \( CB' \), \( CK \), and \( CK' \), we use the distance formula between a point \((x, y)\) and the origin \((0, 0)\…
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if jklm is a parallelogram, find its perimeter. k 3y - 4 l 6x - 14 x + …
78
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translating $\triangle xyz$ to the right 3 units and upward 5 units, we…
### Part (a) To find the length of \( XX' \), \( YY' \), and \( ZZ' \), we use the distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\): \( d = \sqrt{(x_2 - x_1)^…
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translating δstu to the left 4 units and upward 1 unit, we get δstu. no…
### Part (a) #### Slope of \( \overline{SS'} \) - **Step 1**: Identify coordinates of \( S \) and \( S' \). \( S(6, -2) \), \( S'(2, -1) \). - **Step 2**: Use slope formula \( m =…
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find the slope of each line. (example 2) 2. 3.
\(\frac{1}{3}\) ### Problem 3:
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15. look for relationships in the diagram below what are the measures o…
$\angle DBC = 140^\circ$, $\angle DBE = 70^\circ$, $\angle EBF = 30^\circ$, $\angle DBF = 100^\circ$
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the units of the subway map below are in miles. suppose the routes betw…
11.2 miles
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8. choose efficient methods how can you find the slope of the line that…
The slope of the line passing through \((0, 0)\) and \((2, 4)\) is \( 2 \). We can find it using the slope formula \( m=\frac{y_2 - y_1}{x_2 - x_1} \) (substituting \( (x_1,y_1)=(…
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translating δabc to the left 8 units and downward 3 units, we get its i…
### Part (a) #### Explanation: To find the length of a segment between two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the distance formula: \(d = \sqrt{(x_2 - x_1)^2 + (y_2 …
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independent practice find the slope of a ski run that descends 15 feet …
\( -\frac{5}{8} \)
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on a zip - line course, you are harnessed to a cable that travels throu…
36.1 meters
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38. beach volleyball the dimensions of the playing area and free zone o…
The area of the beach volleyball court is $\boldsymbol{3867\frac{7}{9}}$ square feet (or $\boldsymbol{\frac{34810}{9}}$ square feet).
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from the top of a 20 m tall building, a bus is sighted at an angle of d…
The bus is approximately \( \boldsymbol{23.83\space m} \) far from the building. (For the sketch: Draw a vertical line segment to represent the building (length 20 m). From the to…
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transversal problems with equations (level 1) score: 2/5 penalty: 1 off…
\( x = 5 \)
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37. gardening you are planning a rectangular vegetable garden that is $…
The area of the vegetable garden is $\frac{35}{8}$ square yards, or $4\frac{3}{8}$ square yards.
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the coordinates of point t are (10,15). the midpoint of \\overline{st} …
$(0, -31)$
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rise & shine: drawing scaled copies directions: for each task below, fo…
To solve problems related to scaled copies, we use the concept of scale factors. Let's assume the original figure (a rectangle) has length \( l \) and width \( w \). ### Task 1 (F…
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distances on the coordinate plane find the distance between points a an…
1. Distance: 4 units; Used y-coordinates; Expression: $6-2$ 2. Distance: 9 units; Used y-coordinates; Expression: $3-(-6)$ 3. Distance: 2 units; Used x-coordinates; Expression: $-…
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1. volume find the area and volume of both prisms.
Surface Area: \( 88 \) (unit\(^2\)), Volume: \( 48 \) (unit\(^3\)) (Note: Since the problem mentions "both prisms" but only one is shown, if there is another prism, we would need …
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what is the value of k? there is a diagram with points l, z, y, x, m, n…
$10$
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what is the value of x? (with a triangle and angles at f: 53°, at h: 45…
$98$
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what is the equation of the vertical line through (2, 3)?
\( x = 2 \)
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use an algebraic equation to find the measures of the two angles descri…
The measure of the supplement is $3^\circ$, the measure of the other angle is $177^\circ$.
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figurative language - rituals of memory figurative language plays an im…
### Metaphor Definition: A metaphor directly equates two unrelated things to show shared traits. ### Metaphor Breakdowns: 1. *"The sun was a toddler..."*: The sun = a stubborn tod…
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an angle measures 81°. find the measure of its supplement and the measu…
A. The measure of the supplement of a 81° angle is $99^\circ$. The measure of the complement of a 81° angle is $9^\circ$.
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mostly i have stories, dreams, and memories\ (9). define chronological:…
Cause and effect is the most effective/best-fitting text structure. The passage centers on explicit causal connections: Mary's tightly curled, never-cut hair causes her pain when …
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∠rqs and ∠tqs are a linear pair where m∠rqs = (5x + 5)° and m∠tqs = (2x…
a. $x=22$ b. $m\angle RQS=115^\circ$, $m\angle TQS=65^\circ$ c. Verified, the answer is correct