Question

∠A is a supplement of ∠B , ∠A is a complement of ∠C, and m∠B=124∘. Find m∠B+m∠C.

Answer 1

158 degrees

Explanation:

Here, we want to find the sum of the two angles.

If A is a supplement of B, it means that adding A and B together will yield 180 degrees

Mathematically;

A + B = 180

A + 124 = 180

A = 180-124

A = 56

Also, A is a complement of C

This means that adding A to C yields 90

A + C = 90

C = 90- A = 90 -56 = 34

Thus B + C = 34 + 124 = 158