Use the Triangle Angle Sum Theorem to find the measure of third angle of the triangle if the measure of two angles are 34.6 and 52.8

Answer 1

The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees.

Given that the measures of two angles are 34.6 degrees and 52.8 degrees, you can find the measure of the third angle by using the following formula:

\[ \text{Third angle} = 180 - (\text{Angle 1} + \text{Angle 2}) \]

Substituting the given values:

\[ \text{Third angle} = 180 - (34.6 + 52.8) \] \[ = 180 - 87.4 \] \[ = 92.6 \]

Thus, the measure of the third angle is \( 92.6 \) degrees.