Geometry HELP The measure of an angles's supplement is 44 less than the measure of the angle...?

Question

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

Answer 1

well a supplementary angle is 180 degrees... so I'm guessing the measure is 180-44 which is 136...not sure if this is correct.

Answer 2

Let x be the measure of the angle.

180-x = x-44

Solve for x,

x = 112 degreese

180-x = 68 degrees <-- the supplement of the angle.

Answer 3

the angle and its supplement should add to 180.

a + (a-44) = 180

2a = 224

a = 112  (measure of the angle)

the supplement's equation is: a-44

=112-44

=68 (measure of the supplement)

to check:

112 + 68 = 180

180 = 180   (-: