SOLUTION: twice the supplement of an angle is 76 degrees more than four times its compliment

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Question 418421: twice the supplement of an angle is 76 degrees more than four times its compliment
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"twice the supplement of an angle is 76 degrees more than four times its compliment"

x = angle

Complementary angles add up to 90
Supplementary angles add up to 180

Complement of angle = 90 - x
Supplement of angle = 180 - x

2(180 - x) = 4(90 - x) + 76 {twice supplement is 76 more than 4 times complement}
360 - 2x = 360 - 4x + 76 {used distributive property}
360 - 2x = -4x + 436 {combined like terms}
-2x = -4x + 76 {subtracted 360 from both sides}
2x = 76 {added 4x to both sides}
x = 38 {divided both sides by 2}

the angle is 38
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