Question

In the diagram g|| h, m<1=(4x+36) and m<2=(3x-3)

What is the measure of <3

Answer 1

60°

Explanation:

Since g||h the sum of angle 1 and angle 2 must be equal to 180

4x + 36 + 3x - 3 = 180

7x + 33 = 180

7x = 147

x = 21

The sum of angle 1 and angle 3 is equal to 180 because they are complementary angles

m<1 = 4x + 36 ➡ 4 × 21 + 36 = 120° so angle 3 = 60°