To find the measure of the third angle, 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 degrees.
According to the theorem, we have the equation:
34.6° + 52.8° + x = 180°
Now, we can solve for x by combining the known angles and subtracting their sum from 180°:
87.4° + x = 180°
Subtracting 87.4° from both sides of the equation gives us:
x = 180° - 87.4° = 92.6°
Therefore, the measure of the third angle 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° .(1 point)
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