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The sum of all three angles in a triangle is always 180°. Therefore, to find the measure of the third angle, we need to subtract the sum of the first two angles from 180°.
Third angle = 180° - (39.5° + 61.7°)
Third angle = 180° - 101.2°
Third angle = 78.8°
Therefore, the measure of the third angle is 78.8°.