A triangle has two angles measuring 40° and 65° . Use the Triangle Angle Sum Theorem to find the measure of the third angle.(1 point)
The Triangle Angle Sum Theorem states that the sum of the measures of the angles in a triangle is 180 degrees.
Let's call the measure of the third angle x. Then, we can set up the following equation:
40° + 65° + x = 180°
105° + x = 180°
To solve for x, we can subtract 105° from both sides of the equation:
x = 180° - 105°
x = 75°
Therefore, the measure of the third angle is 75 degrees.