Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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solve for x. round to the nearest tenth, if necessary.
$160.8$
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these two angles are complementary. what is the measure of ∠x? ∠x = ?°
19
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s the measurement of this angle?
155 degrees
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how can the following statement be rewritten as a conditional statement…
B. If the measures of two angles add up to 180 degrees, then they form a linear pair.
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is the measurement of this angle?
120 degrees
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solve for x. round to the nearest tenth, if necessary.
$22.4$
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g.co.c.10: isosceles triangle theorem 2 1 in the diagram below of △gjk,…
$\triangle GHK$ is not an isosceles triangle.
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solve for x. round to the nearest tenth, if necessary.
$4.8$
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line s is a straight line that passes through the origin. select any tw…
$-3$
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solve for x. round to the nearest tenth, if necessary.
$2.4$
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solve for x. round to the nearest tenth, if necessary.
$243.1$
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question express sin s as a fraction in simplest terms.
$\frac{3}{5}$
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question solve for m. answer attempt 1 out of 3
$m = 2\sqrt{10}$
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question solve for w.
$12\sqrt{2}$
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question find the value of sin b rounded to the nearest hundredth, if n…
\(0.47\)
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find the length of side x in simplest radical form with a rational deno…
$4$
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show all work for full credit. part a – fill in the blank (5 questions)…
1. $(n - 2)\times180^{\circ}$ 2. 6 3. $360^{\circ}$ 4. $360^{\circ}$ 5. 13
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question express cos p as a fraction in simplest terms.
$\frac{14}{25}$
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solve for k. answer attempt 1 out of 3 k =
$6\sqrt{2}$
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mark all congruent angles. solve for x and y (7y - 20)° (5x - 38)° (3x …
$x = 17$, $y=\frac{67}{7}$
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question find the value of tan g rounded to the nearest hundredth, if n…
$0.29$
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this is the only question in this section. question solve for w. answer…
$6\sqrt{3}$
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15. enter the value of x that makes the given equation true: 8(5 + 2x) …
15. $x=-8$ 16. $z > - 8$, graph: open circle at - 8, shade right 17. $x\leq - 13$, graph: closed circle at - 13, shade left
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part 4: group practice- \the sniper\, \fish cheeks\, or \the landlady\ …
Theme Statement: Understanding and embracing one's own culture is essential for self - acceptance. Examples/Evidence from the Text to Support Your Theme: 1. The narrator is embarr…
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special right triangles #3 unique id: 1080 this is the only question in…
$3\sqrt{10}$
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the eccentricity of the conic section graphed is: a. zero b. between 0 …
A. Zero
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to indirectly measure the distance across a lake, fawzia makes use of a…
$71.76$ m
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for a project in his geometry class, elijah uses a mirror on the ground…
$14.95$ meters
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travis is 1.85 meters tall. at 2 p.m., he measures the length of a tree…
$17.63$ meters
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4. highlight the transversal. mark all congruent angles. solve for x an…
\(x = 24\), \(y = 3.25\)
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the conic section below is______. a. a circle b. an ellipse c. a parabo…
b. an ellipse
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special right triangles #1 unique id: 1069 this is the only question in…
$\sqrt{3}$
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the triangles are similar. solve for x. (hint: use the similarity state…
$x = \frac{121}{35}$
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se te muestra ∠c d e debajo de cuya medida está 74°. dibuja una bisectr…
Cada uno de los ángulos formados por la bisectriz de $\angle CDE$ mide $37^{\circ}$
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△wgr is similar to △tgf. solve for x.
$x = 45.5$
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solve for x. $delta abcsimdelta wrg$. b 400 + 10x a. c 1500. g 100. w 3…
$410$
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△abc is similar to △edc. solve for x. 3x + 12 60 40 140
$x = 66$
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determine if the 2 triangles are similar. if so, determine why theorem …
Not Similar
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determine if triangle abc and triangle def are or are not similar, and,…
are
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centroid and orthocenter quiz complete time remaining 53:54 abc is an o…
# Explicación: ## Paso 1: Recordar la definición del ortocentro El ortocentro de un triángulo es el punto de intersección de las alturas del triángulo. En un triángulo obtuso, las…
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a prime number is a whole number that has exactly two different factors…
| Number | Factors | Prime or Composite? | | ---- | ---- | ---- | | 11 | 1, 11 | Prime | | 19 | 1, 19 | Prime | | 24 | 1, 2, 3, 4, 6, 8, 12, 24 | Composite | | 29 | 1, 29 | Prime …
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determine if triangle def and triangle ghi are or are not similar, and,…
are
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¿cuál de las siguientes afirmaciones es verdadera? respuesta $mangle cd…
# Explicación paso - a - paso: ## Paso1: Analizar la figura Observamos que el ángulo $\angle CDE$ está dividido en dos ángulos $\angle CDF$ y $\angle EDF$. ## Paso2: Observar la r…
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find the value of x for which r || s. then find m∠1 and m∠2. m∠1 = 77 -…
If \(r\parallel s\), then \(m\angle1 = m\angle2\) (corresponding - angles postulate). Set \(77 - x=92 - 2x\). Solve for \(x\): \[ \begin{align*} 2x - x&=92 - 77\\ x& = 15 \end{ali…
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numbers a prime number is a whole number that has exactly two different…
| Number | Factors | Prime or Composite? | | ---- | ---- | ---- | | 36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 | Composite | | 49 | 1, 7, 49 | Composite | | 50 | 1, 2, 5, 10, 25, 50 | Comp…
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centroid and orthocenter quiz complete time remaining 56:33 in the diag…
# Explicación: ## Paso 1: Recordar la propiedad del centróide En un triángulo, el centróide divide a cada mediana en una razón de 2:1, es decir, la distancia desde el vértice hast…
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calculate the distance between the points c=(0, 3) and l=(-8, -2) in th…
$\sqrt{89}$
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centroid and orthocenter quiz complete 1 2 3 4 5 6 in which figure is p…
# Explicación: ## Paso 1: Recordar la definición de ortocentro El ortocentro es el punto de intersección de las alturas de un triángulo (líneas perpendiculares desde un vértice al…
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solve the inequality and graph the solution. f - 7 < 2 plot the endpoin…
The solution of the inequality is $f<9$. On the number - line, we use an open - circle at 9 (because 9 is not included in the solution set) and draw a ray to the left of 9.
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solve the inequality and graph the solution. 3w ≤ 6 plot the endpoints.…
The solution of the inequality is $w\leq2$. On the number - line, a closed circle is plotted at 2 and a ray extends to the left.
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¿cuál de las siguientes afirmaciones es verdadera? respuesta o 1/2 (m∠t…
2(m∠TUW)=m∠VUW
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solve the inequality and graph the solution. \\(\\frac{f}{2}\\geq4\\) p…
The solution of the inequality is $f\geq8$. On the number - line, place a closed circle at 8 (since the inequality is $\geq$) and draw a ray to the right of 8.
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se te muestra ∠ t u v debajo de cuya medida está 80°. dibuja una bisect…
Dibuja un rayo desde el vértice $U$ de modo que forme dos ángulos de $40^{\circ}$ cada uno con los lados $\overrightarrow{UT}$ y $\overrightarrow{UV}$.
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(b) peluru yang digunakan dalam acara itu adalah berbentuk sfera dengan…
(i) The volume of the shot - put ball is approximately $696.83$ $cm^{3}$. (ii) The surface area of the shot - put ball that needs to be painted is approximately $379.94$ $cm^{2}$.
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example · identify two same - side angles
$\angle3$ and $\angle5$, $\angle4$ and $\angle6$
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2025 - 2026 mdcps_1206315 - geometry_fy centroid and orthocenter assign…
# Explicación: ## Paso 1: Aplicar la propiedad del centróide El centróide divide cada mediana en una relación 2:1. Entonces, $AG = 2GE$. Suponiendo que $AG=2x + 10$ y $GE = 2x-1$,…
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developing proof use the given information to determine which lines, if…
15. The lines cut by the transversal forming ∠10 and ∠11 are parallel by the Same - Side Interior Angles Supplementary Theorem. 16. The lines cut by the transversal forming ∠6 and…
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centroid and orthocenter assignment active using the centroid to find t…
# Explicación: ## Paso 1: Aplicar la propiedad del centróide El centróide divide cada mediana en una razón 2:1. Entonces, $SZ = 2SW$. Dado que $SZ=4m + 8$ y $SW = 3m - 1$, entonce…
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8 in △fgh, m∠f = m∠h, gf = x + 40, hf = 3x - 20, and gh = 2x + 20. the …
3) 60
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8 in △fgh, m∠f = m∠h, gf=x + 40, hf = 3x - 20 and gh = 2x+20. the lengt…
9. 2) 55 10. 4) \(\angle EAC\cong\angle EDB\) 11. 3) \(\overline{AD}\cong\overline{BD}\) 12. 3) \(m\angle A=m\angle C\) 13. 4) similar 14. 4) \(\triangle DOG\) is an obtuse triang…
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5. lines ℓ and m are perpendicular. a point q has this property: rotati…
a. 5a: Point $P$, the intersection of $l$ and $m$ 5b: No 6: Locate $D'$ based on the relative position of $D$ with respect to $A$, $B$, $C$ and the transformation of $A$ to $A'$, …
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2. draw the image of quadrilateral abcd when translated by the directed…
A. A translation takes a line to a parallel line or itself. ### 4.
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in exercises 29 - 36, graph the inequality. (see example 3.) 29. $xgeq2…
To graph $x\geq2$: Closed - circle at $x = 2$, arrow to the right. To graph $z\leq5$: Closed - circle at $z = 5$, arrow to the left. To graph $-1>t$: Open - circle at $t=-1$, arro…
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in the figure, m∠1=(x + 42)° and m∠2=(2x)°. (a) write an equation to fi…
(a) Ecuación: $(x + 42)+2x=90$ (b) $m\angle1 = 58°$ $m\angle2 = 32°$
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problem 5 determine whether the pair of figures represents an original …
Yes
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1) the formula p = 2l + 2w represents the perimeter of a rectangle. a) …
a) $L=\frac{P - 2W}{2}$ b) 68 meters
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given the figure below, find the values of x and z.
# Explicación: ## Paso 1: Aplicar la propiedad de ángulos opuestos por el vértice Los ángulos $(11x - 23)^{\circ}$ y $(8x + 16)^{\circ}$ son ángulos opuestos por el vértice, enton…
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practice questions 1. what is the sum of the measures of the interior a…
1. $540^{\circ}$ 2. $4500^{\circ}$ 3. $135^{\circ}$ 4. $162^{\circ}$ 5. $134^{\circ}$ 6. $11$ 7. $24$ 8. $360^{\circ}$ 9. $18^{\circ}$
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(a) an angle measures 124°. what is the measure of its supplement? (b) …
(a) 56 (b) 54
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given that m∠a = 96° and m∠b = 68°, find m∠x and m∠y. m∠x = ° m∠y = ° r…
\(m\angle x = 96^{\circ}\) \(m\angle y = 112^{\circ}\)
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in the figure below, (mangle1=(x - 24)^{circ}) and (mangle2 = 5x^{circ}…
m∠1 = 10° m∠2 = 170°
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3 construct arguments xavier said the missing length is about 18.5 unit…
# Explicación: ## Paso 1: Aplicar la desigualdad triangular En un triángulo rectángulo, el lado hipotenusa es el lado más largo. Aquí, los catetos son 21 y 28. El lado desconocido…
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given that m∠y = 45°, find m∠a and m∠b. m∠a = m∠b =
$m\angle a = 45$ $m\angle b = 135$
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given the figure below, find the values of x and z.
# Explicación: ## Paso 1: Identificar ángulos opuestos por el vértice Los ángulos de $71^{\circ}$ y $(5x + 16)^{\circ}$ son ángulos opuestos por el vértice, por lo tanto son igual…
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a triangle has a 80° angle and a right angle. what is the measure of th…
10°
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for the figure below, give the following. (a) one pair of angles that f…
(a) ∠1 y ∠2 (b) ∠1 y ∠4 (c) ∠1 y ∠4
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in exercises 29 - 36, graph the inequality. (see example 3.) 29. $xgeq2…
For \(x\geq2\): Closed - circle at \(2\), shade right. For \(z\leq5\): Closed - circle at \(5\), shade left. For \(-1>t\): Open - circle at \(-1\), shade left. For \(-2 < w\): Ope…
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in the figure below, m∠jkm = 96°, m∠nkm = 27°, and (overline{kn}) bisec…
# Explicación: ## Paso 1: Encontrar el ángulo ∠LKM Como $KN$ biseca $\angle LKM$, entonces $\angle LKN=\angle NKM$. Dado que $\angle NKM = 27^{\circ}$, entonces $\angle LKM=2\time…
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geometry concepts and connections unit 6 georgias k - 12 mathematics st…
Yes, I agree with Diego. The perpendicular segment $CJ$ from point C to the line $\ell$ (shoreline) is the shortest distance as per the Pythagorean theorem for any right - triangl…
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which graph shows the solution set of (\frac{x^{2}+9x + 20}{x^{2}-x - 2…
The graph with a closed circle at \(x=-5\), an open circle at \(x = 5\), and shading to the left of \(x=-5\) and to the right of \(x = 5\) is the correct one.
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in an isosceles triangle, one angle is 28° more than twice the measure …
38 38 104
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diagnostic assessment tangents intersecting a radius line l represents …
Yes, if \(CJ\) is perpendicular to the shore - line \(\ell\). The Pythagorean theorem states that in a right - triangle with hypotenuse \(CD\) and legs \(CJ\) and \(JD\) (where \(…
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in the figure below, m∠jkm = 96°, m∠nkm = 27°, and kv bisects ∠lkm. fin…
34.5
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given that (mangle a = 51^{circ}), find (mangle b). (mangle b=) o resou…
$129$
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find the mid - point m of the line segment joining the points s=(1, - 7…
$M=(-3,-2)$
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calculate the distance between the points m=(1, - 4) and f=(4, - 9) in …
# Explicación: ## Paso 1: Identificar la fórmula de distancia La fórmula de distancia entre dos puntos $(x_1,y_1)$ y $(x_2,y_2)$ en el plano cartesiano es $d = \sqrt{(x_2 - x_1)^2…
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which graph shows the solution set of the inequality $\frac{x^{2}+10x +…
The graph that has open - circles at \(x=-8,x=-2,x = 3\) and is shaded for \(-8<x<-2\) and \(x>3\) shows the solution set of the inequality. Without seeing the specific options, t…
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spiral review 10. a grocery store has three types of fish for sale. car…
Herring
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¿cuál de las siguientes afirmaciones es verdadera? respuesta m∠efg = m∠…
$\frac{1}{2}(m\angle EFG)=m\angle EFH$
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18. - / 1 points given that $ell_1parallelell_2$ and $y = 42^{circ}$, f…
$42$
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17. - / 1 points given that $ell_1parallelell_2$, find $x$. $x =$
$18$
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a. two different central angles ∠boc, ∠doc b. a minor arc c. a major ar…
g. Measure $\angle AOC$ with a protractor to get the measure of $\overset{\frown}{AC}$. h. Measure $\angle DOE$ with a protractor to get the measure of $\overset{\frown}{DE}$.
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given that $ell_1parallelell_2$ and the measure of $angle c = 45^{circ}…
$m\angle a = 45$ $m\angle b = 135$
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se te muestra ∠ efg debajo de cuya medida está 72°. dibuja una bisectri…
Cada uno de los ángulos formados por la bisectriz del ángulo $\angle EFG$ mide $36^{\circ}$.
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which graph shows the solution set of \\(\\frac{x - 1}{x - 3}<0\\)?
The graph with open - circles at $x = 1$ and $x = 3$ and a line segment between them on the number - line represents the solution set of the inequality $\frac{x - 1}{x - 3}<0$.
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given that (l_1parallel l_2) and the measure of (angle c = 37^{circ}), …
\(m\angle a = 37^{\circ}\) \(m\angle b = 143^{\circ}\)
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find x given y = 16° in the figure below. x = °
$8$
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¿cuál de las siguientes afirmaciones es verdadera? respuesta o $\frac{1…
$2(m\angle UVX)=m\angle UVW$
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se te muestra ∠ u vw debajo de cuya medida está 100°. dibuja una bisect…
Cada uno de los ángulos formados por la bisectriz del ángulo $\angle{UVW}$ tiene una medida de $50^{\circ}$.
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find x given y = 75° in the figure below. x = °
75