2 Answers

Yueyoum · Answer 1 · 2020-03-28T22:26:05+0000

Answer:

$m\angle B = 50^\circ$

$m\angle C = 130^\circ$

Explanation:

We are given the following information in the question:

$m\angle A = 40^\circ$

Angle B is a complement of Angle A. Thus, we can write:

$\angle A + \angle B = 90^\circ\\\angle B = 90 - m\angle A\\\angle B = 90 - 40 = 50\\m\angle B = 50^\circ$

Angle C is a supplement of Angle B. Thus, we can write:

$\angle C + \angle B = 180^\circ\\\angle C = 180 - m\angle B\\\angle C = 180 - 50 = 130\\m\angle C = 130^\circ$

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