Question

In the diagram, g ∥ h, m∠1 = (4x + 36)°, and m∠2 = (3x – 3)°. What is the measure of ∠3? 21° 60° 120° 159°

Answer 1

M<2 = m<3
but
m<1 + m<2 = 180
4x + 36 + 3x – 3 = 180
7x + 33 = 180
7x = 147
x = 21

m<2 = 3x – 3
m<2 = 3(21) - 3
m<2 = 63 - 3
m< 2 = 60

m<3 = m<2 = 60

answer
60°