Use the triangle angle sum theorem to find the measure I'm the third angle of the triangle if the two measure of two angles are 34.6° and 52.8°
The triangle angle sum theorem states that 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:
34.6° + 52.8° + x = 180°
To find the measure of the third angle, we need to subtract the sum of the two given angles from 180°:
x = 180° - 34.6° - 52.8°
x = 92.6°