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°
.(1 point)
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To find the measure of the third angle of the triangle, we can use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180°.
Let's call the measure of the third angle x°.
According to the Triangle Angle Sum Theorem, we have:
34.6° + 52.8° + x° = 180°
Combine the known angles:
87.4° + x° = 180°
Subtract 87.4° from both sides:
x° = 180° - 87.4°
x° = 92.6°
Therefore, the measure of the third angle of the triangle is 92.6°.