triangle has two angles measuring 40°

Question

and 65°
. Use the Triangle Angle Sum Theorem to find the measure of the third angle.(1 point)
°

Answer 1

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

Given two angles measuring 40° and 65°, you can find the measure of the third angle by using the formula:

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

Substituting the given values:

\[ \text{Third angle} = 180° - (40° + 65°) \] \[ \text{Third angle} = 180° - 105° \] \[ \text{Third angle} = 75° \]

Therefore, the measure of the third angle is 75°.