SOLUTION: If the complement of an angle is one-tenth of the supplement of the angle, find the measure of the angle.

Question 264171: If the complement of an angle is one-tenth of the supplement of the angle, find the measure of the angle.
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
If the complement of an angle is one-tenth of the supplement of the angle, find the measure of the angle.
Let x be the unknown angle. Then x's complement is 90-x and its supplement is 180 - x. So we have:
90-x = (1/10)*(180-x)
90-x = 18 - .1*x
Solve the above for x.

RELATED QUESTIONS
If the complement of an angle is one-fifth its supplement, findthe measure of the... (answered by Boreal,solver91311)

find the measure of an angle if the measure of its complement is one third the measure of (answered by cleomenius)

the measure of the complement of an angle is one fourth the measure of the supplement of... (answered by cleomenius)

Measure of the complement of an angle is one-fourth the measure of the supplement of the... (answered by Earlsdon)

A supplement of an angle is 4 times the complement of the angle. find the measure of the... (answered by stanbon)

the supplement of an angle is 7 times the complement. find the measure of the... (answered by Fombitz)

the supplement of an angle is four times the complement of the angle. Find the measure of (answered by drj,MathTherapy)

The complement of an angle is one-sixth the measure of the supplement of the angle. What... (answered by Theo)

The ratio of the complement of an angle to the supplement of the angle is 7:22. Find the... (answered by rfer)