To find the measure of the third angle of a triangle, we can use the Triangle Angle Sum Theorem, which states that the sum of the measures of the three angles in a triangle is always 180 degrees.
Let's call the measure of the third angle x.
According to the Triangle Angle Sum Theorem, we can write the equation:
34.6° + 52.8° + x = 180°
Combining like terms, we get:
87.4° + x = 180°
Now, let's solve for x by subtracting 87.4° from both sides of the equation:
x = 180° - 87.4°
x = 92.6°
Therefore, the measure of the third angle of the triangle is 92.6°.
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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