Help! I need help in geometry!?

Question

The measure of an angle's supplement is 44 less than the measure of the angle. Find the measure of the angle and its supplement.

Answer 1

Supplementary angles are two angles that measure 180 degrees together.

For example, 130 degrees and 50 degrees are supplementary angles because their sum is 180 degrees.

You can solve your problem by writing an equation.

Let a = the measure of the angle

and s = the measure of the angle's supplement

a + s = 180

We know that the measure of the angle's supplement (s) is 44 degrees less than the measure of the angle (a).  So,

s = a - 44

Replace s with (a - 44) in the equation a + s = 180:

a + s = 180

a + a - 44 = 180

2a - 44 = 180

2a = 224

a = 112

AND s = a - 44

s = 112 - 44

s = 68

The measure of the angle is 112 degrees, and its supplement measures 68 degrees.

Hope that helped!