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 Triangle Angle Sum Theorem states that the sum of the measures of the angles in any triangle is 180 degrees.
Let's denote the measure of the third angle as x.
According to the theorem, we can write the equation:
63° + 40° + x = 180°
Combine like terms:
103° + x = 180°
Subtract 103° from both sides:
x = 180° - 103°
x = 77°
Therefore, the measure of the third angle is 77 degrees.