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