SOLUTION: The supplement of an angle measures 11 times its complement. Then the measure of the angle is... A. 9 degrees B. 81 degrees C. 90 degrees D. 99 degrees E. 100 degrees

Question 982595: The supplement of an angle measures 11 times its complement. Then the measure of the angle is...
A. 9 degrees
B. 81 degrees
C. 90 degrees
D. 99 degrees
E. 100 degrees
Found 2 solutions by MathLover1, macston:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Two Angles are Supplementary when they add up to degrees.
Complementary Angles add up to �.
if one angle is , its supplement is and its complement is
if the supplement of an angle measures times its complement, then we have

�
so, � , its supplement is and its complement is

your answer is: B. degrees

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
x=the angle; complement=90-x; supplement=180-x
.
180-x=11(90-x)
180-x=990-11x
180+10x=990
10x=810
x=81 ANSWER: The measure of the angle is 81 degrees. B is correct.

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