SOLUTION: The measure of the supplement of an angle is 30 more than four times the measure of the complement of the angle. Find the measure of the complement

SOLUTION: The measure of the supplement of an angle is 30 more than four times the measure of the complement of the angle. Find the measure of the complement

Algebra.Com

Question 364739: The measure of the supplement of an angle is 30 more than four times the measure of the complement of the angle. Find the measure of the complement
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let x = angle. Then 180 - x = 4(90-x)+30,
180- x = 360-4x+30,
180-x = 390-4x,
4x-x = = 390 - 180,
3x = 210,
x = 70, measure of the unknown angle. Thus, the complement is 20.
RELATED QUESTIONS
The measure of the supplement of an angle is 30 less than four times the measure of the... (answered by drj)

The measure of the supplement of an angle is 30 less than four times the measure of the... (answered by rfer)

The Supplement of an angle measures 15 degrees more than four times its complement. Find... (answered by gonzo)

The measure of the supplement of an angle is 40 more than two times the measure of the... (answered by Flannery)

The measure of the supplement of an angle is 40 more than two times the measure of the... (answered by ikleyn)

the measure of the supplement of an angle is 40 more than two times the measure of the... (answered by ewatrrr,MathTherapy)

The Measure of the supplement of an angle is 12 more than four times the complement. Find (answered by ankor@dixie-net.com,chaochoa)

The Supplement of an angle is 32 more than 2 times the complement of the angle. Find the... (answered by nerdybill)

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