SOLUTION: find the measure of an angle such that the difference between the measures of it's supplement and three times it's complement is 10 degre how do I write the formula to solve th

Algebra ->  Angles -> SOLUTION: find the measure of an angle such that the difference between the measures of it's supplement and three times it's complement is 10 degre how do I write the formula to solve th      Log On


   

Question 228666: find the measure of an angle such that the difference between the measures of it's supplement and three times it's complement is 10 degre
how do I write the formula to solve this?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the angle
90-x= the complement
180-x= the supplement

"the difference between the measures of its supplement and 3 times its complement is 10"

(180-x)-3(90-x)=10
180-x-270+ 3x=10
-90 +2x = 10

Add 90 to each side:
2x= 100
x=50 degrees = The angle
Complement = 90-50=40 degrees
Supplement = 180-50=130 degrees
Check: 3 times the complement = 3(40)=120 degrees
The difference between the supplement and 3 times the complement is 10 degrees, so it checks!

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida