Question 430067
"Find the measure of an angle such that twice its complement is 30 degrees less than its supplement. I don't know how to put this into equation form."


x = the angle
90 - x = complement {complementary angles add up to 90}
180 - x = supplement {supplementary angles add up to 180}


2(90 - x) = 180 - x - 30 {twice its complement is 30 less than its supplement}
180 - 2x = 150 - x {used distributive property and combined like terms on right}
30 - 2x = -x {subtracted 150 from both sides}
x = 30 {added 2x to both sides}


30 is the angle
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