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)

°

1 answer

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

Let x be the measure of the third angle.
40° + 65° + x = 180°
105° + x = 180°
x = 180° - 105°
x = 75°

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