document.write( "Question 153584: The ratio of two supplementary angles is 1:7. Find the measure of the smallest angle. \n" ); document.write( "
Algebra.Com's Answer #113101 by orca(409)![]() ![]() ![]() You can put this solution on YOUR website! As the ratio of the two angles is 1 : 7, we can use x and 7x to represent the two unknown angles. \n" ); document.write( "As the two angles are supplementary, their sum is 180 degrees. \n" ); document.write( "So x + 7x = 180 \n" ); document.write( "Solving for x, we have \n" ); document.write( "8x = 180 \n" ); document.write( "x = 22.5 \n" ); document.write( "So one angle measures 22.5 degrees, another angle measures 7x = 7*22.5 = 157.5 degrees. \n" ); document.write( " \n" ); document.write( " |