Question

If the measures of two angles of a triangle are 95 deg and 10 ^ a what is the measure of the third angle? The measure of the third angle is (Simplify your answer )

Answer 1

To find the measure of the third angle, we must subtract the sum of the given angles from 180 degrees (since the sum of all angles in a triangle is always 180 degrees).

Given:
First angle = 95 degrees
Second angle = 10^a degrees

Sum of the given angles = 95 degrees + 10^a degrees

Third angle = 180 degrees - (95 degrees + 10^a degrees)
Third angle = 180 degrees - 95 degrees - 10^a degrees
Third angle = 85 degrees - 10^a degrees

Thus, the measure of the third angle is 85 degrees - 10^a degrees.