SOLUTION: among two supplimentary angles ,the measure of the larger angle is 44 degree more than the measure of the smaller .find the measure.

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Question 165022: among two supplimentary angles ,the measure of the larger angle is 44 degree more than the measure of the smaller .find the measure.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

A%2BB=180,EQN 1----> supplementary angles A & B
But there's a condition ,A=44%2BB,larger angle,
Susbt.in EQN 1,
44%2BB%2BB=180
2B=180-44=136
cross%282%29B%2Fcross%282%29=cross%28136%2968%2Fcross%282%29
highlight%28B=68%5Eo%29
Via EQN 1,
A%2B68=180
A=180-68
highlight%28A=112%5Eo%29
Check via condition:
A=44%2BB
112=44%2B68
112=112
Via EQN 1: 112%2B68=180, check!
Thank you,
Jojo