Question

1. if ∠2 = 7x - 25 and ∠4 = 5x + 5 are corresponding angles, what is x?

a. 25
b. 20
c. 10
d. 15

Explanation:

Step1: Recall corresponding - angles property

Corresponding angles are equal. So, set $\angle2=\angle4$, i.e., $7x - 25=5x + 5$.

Step2: Isolate the variable terms

Subtract $5x$ from both sides: $7x-5x - 25=5x-5x + 5$, which simplifies to $2x-25 = 5$.

Step3: Isolate the variable

Add 25 to both sides: $2x-25 + 25=5 + 25$, getting $2x=30$.

Step4: Solve for x

Divide both sides by 2: $\frac{2x}{2}=\frac{30}{2}$, so $x = 15$.

Answer:

d. 15