Question

Find the measure of the third angle of a triangle if the measures of the other two angles are given.102.9 and 40.4A. 43.2B. 56.7C. 46.7D. 36.7

Answer 1

To find the measure of the third, we need to know that the sum of the inside angles of a triangle is 180°:

So 102.9 + 40.4 + x = 180

Where x is the third angle.

Then solve the equation for x to know the value:

102.9 + 40.4 + x = 180

40.4 + x = 180 - 102.9

x = 180 - 102.9 -40.4

x = 36.7

The measure of the third angle is 36.7°

The correct answer is option D.