Question

4 question formative - naming angles and solving equations
date: 03/2025

1. use the figure to name angles and vertices.
2. use the diagram to find the m∠jkl given,

• m∠skl = 31°
• m∠jks = 52°

a. label the diagram with the given information.
b. create an equation to find m∠jkl.
a. what is another name for ∠3?
b. name the vertex for ∠1.
c. what are two other names for ∠ade?

1. perform the following operations with positive and negative numbers.

a. (9)(-4) =
b. -7· -6 =
c. 36÷ -12 =
d. (\frac{-50}{-5}) =

1. use the given angle measures to label the diagram and solve for x.

• m∠wvz = 3x°
• m∠zvu=(x - 27)°
• m∠wvu = 117°

a. label the diagram with the given information.
b. create an equation to find x.
c. x =
d. m∠wvz =
m∠zvu =

Explanation:

Step1: Solve 3a

Multiply 9 and -4.
$9\times(-4)= - 36$

Step2: Solve 3b

Multiply -7 and -6. When two negative numbers are multiplied, the result is positive.
$-7\times(-6)=42$

Step3: Solve 3c

Divide 36 by -12. A positive number divided by a negative number gives a negative result.
$36\div(-12)=-3$

Step4: Solve 3d

Divide -50 by -5. When two negative numbers are divided, the result is positive.
$\frac{-50}{-5}=10$

Step5: Solve 4b

We know that $\angle WVU=\angle WVZ+\angle ZVU$. So the equation is $117^{\circ}=3x+(x - 27)$.
First, combine like - terms: $117 = 3x+x-27$.
Then, simplify the right - hand side: $117=4x - 27$.
Add 27 to both sides: $117 + 27=4x$, so $144 = 4x$.
Divide both sides by 4: $x = 36$.

Step6: Solve 4d

Since $x = 36$, then $\angle WVZ=3x^{\circ}=3\times36^{\circ}=108^{\circ}$ and $\angle ZVU=(x - 27)^{\circ}=(36 - 27)^{\circ}=9^{\circ}$

Answer:

3a. - 36
3b. 42
3c. - 3
3d. 10
4b. $117 = 3x+(x - 27)$
4c. 36
4d. $\angle WVZ = 108^{\circ}$, $\angle ZVU=9^{\circ}$