# SOLUTION: the measure of an amgle is 35 more than twice the complement of the angle. Find the measure of the angle, its supplement, and its complement Note: The complement of an angle is

Algebra ->  Algebra  -> Angles -> SOLUTION: the measure of an amgle is 35 more than twice the complement of the angle. Find the measure of the angle, its supplement, and its complement Note: The complement of an angle is      Log On

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 Geometry: Angles, complementary, supplementary angles Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Angles Question 162580: the measure of an amgle is 35 more than twice the complement of the angle. Find the measure of the angle, its supplement, and its complement Note: The complement of an angle is always 90-(angle); the supplement of an angle is always 180-(angle) Let x= angle1 Then 90-x=complement of angle1 180-x=supplement of angle1 Now lets translate from words to algebra: x =2(90-x)+35 x=180-2x+35 x=215-2x x+2x=215-2x+2x 3x=215+0 3x/3=215/3 x=215/3 complement = 90-(215/3)=(270/3)-(215/3)=55/3 supplement = 180-(215/3)=(540/3)-(215/3)=325/3 According to person who posted problem, it should be set up as follows: 180-x = 2(90-x)+ 35 yet 180-x stands for the measure of the supplement of an angle...setting up the problem like this would be correct if the problem was the following: THE MEASURE OF THE SUPPLEMENT OF AN ANGLE IS 35 MORE THAN TWICE THE COMPLEMENT OF THE ANGLE. FIND THE MEASURE OF THE ANGLE, ITS SUPPLEMENT, AND ITS COMPLEMENT Answer by eperette(173)   (Show Source):