SOLUTION: find the angle if the sum of its complement and supplement is 14 more than twice the difference of its supplement and complement.

Algebra.Com
Question 361705: find the angle if the sum of its complement and supplement is 14 more than twice the difference of its supplement and complement.
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
find the angle if the sum of its complement and supplement is 14 more than twice the difference of its supplement and complement.
let angle be x
complement = 90-x
supplement = 180-x
..
(90-x)+(180-x)=2((180-x)-(90-x))+14
...
270-2x=2(180-x-90+x)+14
270-2x=2(90)+14
270-2x=180+14
-2x=-270+194
-2x=-76
x=38 degrees
...
m.ananth@hotmail.ca

RELATED QUESTIONS

the supplement of an angle is 20 more than twice its complement. find the angle,... (answered by RAY100)
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)
If the supplement of an angle is twenty more than twice its complement, what is the... (answered by Boreal)
The supplement of an angle is 40 more than twice its complement. Find the measure of the... (answered by stanbon)
What is the original angle, the complement angel, and the supplement if the supplement of (answered by MRperkins)
The difference between the supplement of an angle and twice its complement is 40. find... (answered by math-vortex)
an angle is 3 more than twice its complement. find the supplement of the... (answered by rfer)