Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle if the measure of two angles are 34.6° and 52.8° .(1 point)

Answer 1

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

Let's denote the measure of the third angle as x.

According to the theorem, we can add up the measures of the given angles and set the sum equal to 180°:

34.6° + 52.8° + x = 180°

Now, let's solve for x:

34.6° + 52.8° + x = 180°

87.4° + x = 180°

Subtracting 87.4° from both sides:

x = 180° - 87.4°

x = 92.6°

Therefore, the measure of the third angle is 92.6°.