Answer:
- m∠1 = 43°27'
- m∠2 = 136°33'
- m∠4 = 136°33'
Step-by-step explanation:
Angles 1 and 3 are vertical angles, so are equal:
m∠1 = m∠3 = 43°27'
Angles 2 and 3 are a linear pair, so are supplementary:
m∠2 = 180° - m∠3 = 180° - 43°27' = 136°33'
Angles 2 and 4 are also vertical angles, so are equal:
m∠4 = m∠2 = 136°33'
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There are 60 minutes in a degree, so 180° is the same as 179°60'. Subtraction can proceed in the usual way after this rewrite:
180° - 43°27' = 179°60' -43°27'
= (179 -43)° +(60 -27)' = 136°33'
