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

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): You can put this solution on YOUR website!

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