# Supplement & Complement Angle

• March 13th 2012, 11:07 PM
Kibbygirl
Supplement & Complement Angle
Hi, if anyone could help me solve this and show in some detail (if possible) the steps to solving it I'd great appreciate it! Thanks!

The sum of twice the supplement of an angle and three times its complement is 595 degrees. Find the angle.
• March 13th 2012, 11:22 PM
princeps
Re: Supplement & Complement Angle
Quote:

Originally Posted by Kibbygirl
Hi, if anyone could help me solve this and show in some detail (if possible) the steps to solving it I'd great appreciate it! Thanks!

The sum of twice the supplement of an angle and three times its complement is 595 degrees. Find the angle.

$2(180^\circ-\alpha)+3(90^\circ-\alpha)=595^\circ$

$360^\circ-2\alpha+270^\circ-3\alpha=595^\circ$

$-5\alpha=595^\circ-630^\circ$

$-5\alpha=-35^\circ$

$\alpha=7^\circ$