The Triangle Angle Sum Theorem states that the sum of the angles inside a triangle must equal 180°. Using this theorem, find the measure of angle C.

Answer 1

Since the sum of the angles in a triangle must equal 180°, we can set up the equation:

Angle A + Angle B + Angle C = 180°

We know that Angle A is 45° and Angle B is 70°. Substituting these values in, we get:

45° + 70° + Angle C = 180°

Combining the known angles, we have:

115° + Angle C = 180°

Now, we can isolate Angle C by subtracting 115° from both sides of the equation:

Angle C = 180° - 115°
Angle C = 65°

Therefore, the measure of angle C is 65°.