In triangle ABC, angle A is 48, outside angle at vertex B is 101. Find the degree measure of angle C.

In triangle ABC, angle A is 48 °.

Find the angle C of the triangle if the outside angle at the vertex B is 101 °.

1) First, we find the inner corner of the triangle ABC.

Angle B = 180 ° – 101 ° = 180 ° – 100 ° – 1 ° = 80 ° – 1 ° = 79 °;

2) Since, in a triangle, 2 angles are known, this is the angle A = 48 ° and the angle B = 79 °, then we can find the angle C.

Angle C = 180 ° – Angle A – Angle B = 180 ° – 48 ° – 79 ° = 132 ° – 79 ° = 53 °.

As a result, we got that the angle C of the triangle ABC is 53 °.