SOLUTION: The measure of the supplement of an angle is 4 times the measure of its complement. Find the measure of one half its complement. I think it's 60 but i need explanation plzz. Thank

Question 501980: The measure of the supplement of an angle is 4 times the measure of its complement. Find the measure of one half its complement. I think it's 60 but i need explanation plzz. Thank you
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
a = angle
180 -a = supplement
90 -a = complement
.
supplement = 4*complement
.
180-a = 4*(90-a)
180-a = 360 -4a
Add 4a to both sides
3a +180 = 360
Subtract 180 from both sides
3a = 180
Divide both sides by 3
a = 60.
.
Done.
RELATED QUESTIONS
find the measure of an angle if its supplement is 4 times its... (answered by ewatrrr)

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 supplement of an angle is 6 times the measure of its complement. Find... (answered by ikleyn,josmiceli,greenestamps)

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

The measure of an angle is half the difference between its complement and its supplement. (answered by josgarithmetic)

three times the measure of the supplement of an angle is equal to eight times the measure (answered by BurningFlame_marc)

The measure of an angle is three times one-half of its complement. Find the measure of... (answered by rfer)

Find the measure of an angle that is one-half the measure of its... (answered by stanbon)