# A simple geo problem

• Sep 28th 2009, 05:56 PM
mike54
A simple geo problem
Hey, I've never been good at math so would you mind explaining to me a few problems? =]
1.The measure of the supplement of an angle is 60 less than 3 times the measure of the complement of the angle. Find the measure of the angle.
2.Find angle T if angle T is 20 more than 4 times its supplement

Thanks.
-Mike
• Sep 28th 2009, 07:41 PM
steiner
The measure of the supplement of an angle is 60 less than 3 times the measure of the complement of the angle. Find the measure of the angle.

if an angle measures x, then it's supplement is 180-x
similarly it's complement would be 90-x

then saying
"the supplement is 60 less than 3 times the complement"
180-x=3(90-x)-60
180-x=270-3x-60
180-x=210-3x
-x=30-3x
2x=30
x=15
• Sep 28th 2009, 07:44 PM
steiner
Find angle T if angle T is 20 more than 4 times its supplement

if T measures t degrees, then it's supplement would be 180-t
then
"t is 20 more than 4 times its supplement"
t+20 =4(180-x)

...similar algebra to solve for x