SOLUTION: The supplement of an angle is 10 degrees less than 3 times its compliment. Find the ratio of supplement to its compliment.

Question 949947: The supplement of an angle is 10 degrees less than 3 times its compliment. Find the ratio of supplement to its compliment.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
I don't know what you mean by compliment. Angles are either COMPLEMENTARY or SUPPLEMENTARY.
Supplementary angles are those that add up to 180 degrees.
Let's call one angle x, and the problem says the supplement is 3(x - 10):
x + 3(x - 10) = 180 Simplify
x + 3x - 30 = 180 Add x's on left. Also add 30, both sides.
4x = 210
x = 210/4
x = 52 1/2 degrees. And the other is 3(52.5-10)= 127 1/2 degrees
RELATED QUESTIONS
twice the supplement of an angle is 76 degrees more than four times its... (answered by algebrahouse.com)

the supplement of an angle is 15degrees more than four times its compliment. find the... (answered by mananth)

the difference between the supplement of an angle twice its compliment is 40. find the... (answered by solver91311)

the measure of the supplement of an angle is 30 degrees less than 5 times the measure of... (answered by stanbon)

Find the measure of an angle whose supplement is 4 times the measure of its compliment (answered by ikleyn,Alan3354)

FIND THE MEASURE OF AN ANGLE WHOSE SUPPLEMENT IS 6 TIMES ITS... (answered by rfer)

The supplement of an angle is 12 more than 3 times its compliment. The angle measure is... (answered by TimothyLamb)

The measure of the supplement of an angle is 94 less than 5 times the compliment find the (answered by solver91311)

the supplement of an angle is 15 more than four times. its com[pliment. Find the angle.... (answered by nerdybill)