Question

1. if ∠1 = 6x + 10 and ∠5 = 130° are corresponding angles, what is the value of x?

a. 20
b. 17
c. 18
d. 19

Explanation:

Step1: Set up equation

Since corresponding angles are equal, we have $6x + 10=130$.

Step2: Isolate variable term

Subtract 10 from both sides: $6x=130 - 10$, so $6x = 120$.

Step3: Solve for x

Divide both sides by 6: $x=\frac{120}{6}=20$.

Answer:

A. 20