Question

In the image shown, line n is a transversal cutting parallel lines l and m.

∠1 = x + 40
∠5 = 2x + 10

What is the measure of ∠5?

A) 65°
B) 67°
C) 70°
D) 72°

Answer 1

The answer is C.) 70

Explanation:

Corresponding angles are congruent. So, set the angles equal to each other and solve for x.

x + 40 = 2x + 10

x = 30

So, ∠5 = 2x + 10 = 2(30) + 10 = 70°

Answer 2

it is 70 on usatestprep.

Explanation:

x + 40 = 2x + 10

x = 30

So, ∠5 = 2x + 10 = 2(30) + 10 = 70