document.write( "Question 51577: the measue of the supplement of an angle is 60 less than three times the measure of the complement of the angle. Find the measure of the angle. \n" ); document.write( "

Algebra.Com's Answer #34448 by rchill(405) $\"\"$ $\"About$

You can put this solution on YOUR website!
Supplementary angles are those that add up to 180, and complementary angles add up to 90. Let x represent the angle; then (180-x) is the supplementary angle and (90-x) is the complementary angle. Three times the measure of the complement is represented by 3*(90-x) and 60 less than that produces $\"3%2A%2890-x%29-60\"$ . We're told that $\"3%2A%2890-x%29-60=180-x\"$ . So now we just solve algebraicly. Expanding the equation produces $\"270-3x-60=180-x\"$ . Now we combine like terms to get $\"210-3x=180-x\"$ . Now add 3x to both sides to get $\"210-3x%2B3x=180-x%2B3x\"$ , or $\"210=180%2B2x\"$ . Now subtract 180 from both sides $\"210-180=180%2B2x-180\"$ , or $\"30=2x\"$ . Dividing both sides by 2 $\"30%2F2=2x%2F2\"$ simplifies to $\"15=x\"$ . So, our angle is 15, its complement is 75, and its supplement is 165. \n" ); document.write( "

\n" );