use the triangle angle sum theorem to find the measure of the third angle of the triangle if the measure of 2 angles are 34.6 and 52.8
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 measures of the angles in a triangle is always 180 degrees.
Given that the measures of two angles are 34.6 degrees and 52.8 degrees, we can find the measure of the third angle by subtracting the sum of the two known angles from 180 degrees:
Third angle = 180 - (34.6 + 52.8)
Third angle = 180 - 87.4
Third angle = 92.6 degrees
Therefore, the measure of the third angle of the triangle is 92.6 degrees.