the diagram below shows the angles formed by some intersecting lines. give that m<8=34, m<9=40, and mm<3=62, find the m
1 answer:
Answer:
m<4 = 44°
Step-by-step explanation:
m<8 = 34°
m<9 = 40°
m<3 = 62°
m<2 = 34° + 40° (exterior angle theorem of a triangle)
m<2 = 74°
m<3 + m<4 + m<2 = 180° (sum of ∆)
62° + m<4 + 74° = 180° (substitution)
m<4 + 136° = 180°
m<4 = 180 - 136 (substitution property of equality)
m<4 = 44°
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Step-by-step explanation:
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Step-by-step explanation:
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