Help with geometry hw

Mathematics

1 answer:

love history [14]3 years ago

4 0

A and a' are vertical angles, therefore a' = a

We know: The sum of the measures of triangle is always 180°.

Therefore: a' + b + d = 180° → d = 180° - a - b.

d and c are adjacent angles, therefore d + c = 180°

substitute

180° - a - b+ c = 180° |-180°
-a - b + c = 0 |+a |+b
c = a + b

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