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 Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees. To find the measure of the third angle, you can use the following equation:

\[ \text{Third Angle} = 180° - (\text{First Angle} + \text{Second Angle}) \]

In this case, the first angle is 63° and the second angle is 40°:

\[ \text{Third Angle} = 180° - (63° + 40°) \] \[ \text{Third Angle} = 180° - 103° \] \[ \text{Third Angle} = 77° \]

Therefore, the measure of the third angle is \( 77° \).