SOLUTION: Three times the complement of an angle is twenty more than the supplement. Find the angles, the complement, and the supplement.
Algebra.Com
Question 1052267: Three times the complement of an angle is twenty more than the supplement. Find the angles, the complement, and the supplement.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Three times the complement of an angle is twenty more than the supplement.
Find the angles, the complement, and the supplement.
:
Let A = "the angle"
the equation for the statement:
"Three times the complement of an angle is twenty more than the supplement."
3(90-A) = (180-A) + 20
270 - 3a = 200 - A
270 - 200 = -A + 3A
70 = 2A
A = 70/2
A = 35 degrees is the angle
then
90 - 35 = 55 degrees is it's complement
and
180 - 35 = 145 degrees is it's supplement
:
:
Check this in the statement
"Three times the complement of an angle is twenty more than the supplement."
3(55) = 145 + 20
165 = 165
RELATED QUESTIONS
Three times the complement of an angle is 18 more than its supplement. Find the... (answered by stanbon)
the supplement is two more than three times the complement. what ARE the angleS of the... (answered by nyc_function)
If the supplement of an angle is twenty more than twice its complement, find the original (answered by stanbon)
If the supplement of an angle is twenty more than twice its complement, find the original (answered by cleomenius)
if the supplement of an angle is twenty more than twice its complement, find the original (answered by cleomenius)
the supplement of an angle is 15 more than 4 times the angles complement. find the... (answered by cleomenius)
The Supplement of an angle is 32 more than 2 times the complement of the angle. Find the... (answered by nerdybill)
What is the original angle, the complement angel, and the supplement if the supplement of (answered by MRperkins)
the supplement of an angle is 20 more than twice its complement. find the angle,... (answered by RAY100)