Question

What is the measure of angle one?

Answer 1

C. 35

Explanation:

Note:

∠3 = ∠7 because of corresponding angles.

So,

2x + 5 = 3x - 10

Solve for x algebraically:

2x + 5 = 3x - 10

5 = 3x - 2x - 10

5 = x - 10

5 + 10 = x

15 = x

Substitute x for ∠3:

2x + 5

2(15) + 5

30 + 5 = 35°

Now,

∠1 = ∠3 because of vertical angles.

So if ∠3 = 35°, then ∠1 = 35°