Question
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
A. 9 degrees
B. 81 degrees
C. 90 degrees
D. 99 degrees
E. 100 degrees
Answers
let the angle be x
then it's complement = 90-x
and it's supplement is 180-x
180-x = 11(90-x)
180-x = 990 - 11x
10x = 810
x = 81
then it's complement = 90-x
and it's supplement is 180-x
180-x = 11(90-x)
180-x = 990 - 11x
10x = 810
x = 81
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