Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle if the measure of two angles are 34.6° and 52.8° .

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

Given that two angles of the triangle measure 34.6° and 52.8°, we can find the measure of the third angle by subtracting the sum of these two angles from 180°:

Third angle = 180° - (34.6° + 52.8°)
Third angle = 180° - 87.4°
Third angle = 92.6°

Therefore, the measure of the third angle of the triangle is 92.6°.
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