# Math Help - Supplement & Complement Angle

1. ## 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.

2. ## Re: Supplement & Complement Angle

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

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

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

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

$\alpha=7^\circ$