SOLUTION: 1) What is the measure of an angle if it is 360 less than five times its own supplement? 2) What is the measure of an angle if it is 190 less than six times its own complement?

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Question 1087595: 1) What is the measure of an angle if it is 360 less than five times its own supplement?
2) What is the measure of an angle if it is 190 less than six times its own complement?

Answer by MathLover1(20850) About Me  (Show Source):
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1) What is the measure of an angle if it is 360 less than five times its own supplement?
Two angles are supplementary when they add up to 180 degrees.
if angle is x, its supplement is 180-x
if the measure of an angle if it is 360 less than five+times its own supplement, we have
x%2B360=5%28180-x%29....solve for x
x%2B360=900-5x
x%2B5x=900-360
6x=540
x=540%2F6
x=90-> the angle
180-x=180-90=90->its supplement

2) What is the measure of an angle if it is 190 less than six+times its own complement?
Two angles are complementary when they add up to 90 degrees.
if angle is x, its complement is 90-x
if the measure of an angle if it is 190 less than six+times its own complement, we have
x%2B190=6%2890-x%29....solve for x
x%2B190=540-6x
x%2B6x=540-190
7x=350
x=350%2F7
x=50-> the angle
90-x=90-50=40 ->its complement