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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°

answer: sine

step-by-step explanation: