The supplement of and angle measure 10 degrees more than twice its complement. What is the angle measure, the complement, and its supplement?

Question

The supplement of and angle measure 10 degrees more than twice its complement. Find the measure of the angle, its supplement, and its complement.

Answer 1

Hi Lex,

 

Supplementary angles add up to 180 degrees and complementary angles add up to 90 degrees.

 

Let X = the angle

 

The supplement of the angle is 180 - X and the complement of the angle is 90 - X.

 

So, 180 - X = 10 + 2(90 - X)

 

180 - X = 10 + 180 - 2X

 

X = 10

 

You can figure out its complement and supplement.

 

Have fun.

 

Dan

Answer 2

Let x=the angle, then 90-x = complement and 180-x = supplement.  Therefore:

 

180-x = 2(90-x) + 10  and solve for x

 

180-x = 180 - 2x + 10

 

x = 10, Compliment is 80, supplement is 170