Use the triangle angle sum theorem to find the measure of the third angle if the first and second angle measure 63 and 40

Answer 1

The sum of the three angles in a triangle is always 180 degrees.

Let's denote the measure of the third angle as x.

According to the triangle angle sum theorem, we can set up the following equation:

63 + 40 + x = 180

Combine like terms:
103 + x = 180

Subtract 103 from both sides:
x = 77

Therefore, the measure of the third angle is 77 degrees.