# The angle A of the triangle ABC is equal to 76; the outer angle at the vertex B is equal to 94

May 30, 2021 | education

| **The angle A of the triangle ABC is equal to 76; the outer angle at the vertex B is equal to 94 degrees. Find the corner C.**

Let’s solve a geometric problem. But first, let’s make a short condition:

Angle A – 76 °;

Outside angle at apex В – 94 °;

Angle C -?

So, remember that the outer and inner angles at one vertex in a triangle always add up to 180 °. Thus, we calculate the degree measure of the angle B:

180 – 94 = 86 °;

Now we find the sum of angle A and angle B:

86 + 76 = 162 °;

Since the sum of all angles in a triangle is always 180 °, we can easily find the degree measure of the last angle in a triangle:

180 – 162 = 18 ° – angle С;

Answer: 18 °.

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