Question 418421
"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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