Question

If the degree measure of an angle is 40 degrees less than 3 times the degree measure of its supplementary angle, what is the degree measure of the angle

Answer 1

The degree measure of the angle is 125 degrees

Explanation:

The degree measure of an angle is 40 degrees less than 3 times the degree measure of its supplementary angle.

Let x = the degree measure of the angle.

For supplementary angles, sum of the angles = 180 degrees.

The supplementary angle of x is (180-x) degrees .

3 times the degree measure of the supplementary angle of x and it is greater than x by 40 degrees

= 3(180-x)-40degrees

x = 540-3x-40

x +3x = 540-40

4x = 500

x = 500/4

x = 125 degrees