SOLUTION: five times the measure of the complemment of an angle is equal to 5/7 of the measure of the supplement of the angle. find the measure of the angle, its conplement, and its suppleme

Question 482862: five times the measure of the complemment of an angle is equal to 5/7 of the measure of the supplement of the angle. find the measure of the angle, its conplement, and its supplement.
thanks!
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
I set this up as follows
5(90-x) = 5/7(180 - x)
450 - 5x = 128.6 - 5/7x
321.4 = 4 2/7x
x = app. 75 the angle we are working with.
So, now we check for the complement
90-75 = 15 the complement
15*5 = 75
Now we check for the supplement.
180 -75 = 105.
5/7 * 105 = 75.
This does check.
Cleomenius.

RELATED QUESTIONS
Find the measure of an angle such that the supplement is five times the angle. (answered by checkley71)

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

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

Five times the measure of an angle is twelve less than its supplement. Find the measure... (answered by rm29924)

The measure of an angle is five times the measure of its supplement. Find the original... (answered by Alan3354,DrBeeee)

The measure of an angle is five less than four times the measure of its supplement Find... (answered by Boreal)

find the measure of an angle if its measure is equal to that of its... (answered by cleomenius)

The supplement of an angle is 3 times the measure of the angle. Find the measure of the... (answered by robertb)

the measure of an angle is 30 more times than 5 times its supplement. find the measure of (answered by ankor@dixie-net.com)