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Use the triangle angle sum theorem to find the measure of the third angle if the measure of the two angles are 34.6 and 52.8

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To find the measure of the third angle, we need to use the triangle angle sum theorem, which states that the sum of the measures of the angles in any triangle is always 180 degrees.

Let the measure of the third angle be x.

According to the theorem, we can form the equation: x + 34.6 + 52.8 = 180

Combining like terms, we have: x + 87.4 = 180

Next, we subtract 87.4 from both sides of the equation to isolate x: x = 180 - 87.4

Simplifying the right side, we have: x = 92.6

Therefore, the measure of the third angle is 92.6 degrees.
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