The Triangle Angle Sum Theorem states that the sum of the angles in any triangle is always 180°.
Let's denote the measure of the third angle as x.
According to the theorem, we can write the equation:
34.6° + 52.8° + x = 180°
To find the measure of the third angle, we can solve this equation:
87.4° + x = 180°
Subtracting 87.4° from both sides of the equation:
x = 180° - 87.4°
x = 92.6°
Therefore, the measure of the third angle is 92.6°.
Use the Triangle Angle Sum Theorum 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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