Question

in a triangle, the measure of the first angle is twice the measure of the second angle. the measure of the third angle is 92 degrees more than the measure of the second angle. what is the measure of the first angle?

Answer 1

You need an equation. x is the unknown angle or the second angle. Keep in mind that interior angles of a triangle add up to 180.

First Angle: 2x
Second Angle: x
Third Angle: x+92

2x + x + x + 92 = 180
4x + 92 = 180
     -92      -92
4x = 88
/4      /4
x = 22

First Angle: 2x = 2(22) = 44
Second Angle: x = 22
Third Angle: x+92

The answer is 44 degrees.