Answer:
m<4 = 44°
Step-by-step explanation:
Given:
m<8 = 34°
m<9 = 40°
m<3 = 62°
Required:
m<4
Solution:
m<2 = m<8 + m<9 (exterior angle theorem of a ∆)
m<2 = 34° + 40° (substitution)
m<2 = 74°
m<2 + m<3 + m<4 = 180° (sum of ∆)
74° + 62° + m<4 = 180° (substitution)
136 + m<4 = 180
Subtract 136 from each side
m<4 = 180 - 136
m<4 = 44°
