document.write( "Question 1147448: An angle measures 158° less than the measure of its supplementary angle. What is the measure of each angle? \n" ); document.write( "
Algebra.Com's Answer #768784 by Theo(13342)![]() ![]() You can put this solution on YOUR website! a + s = 180 \n" ); document.write( "a is the angle \n" ); document.write( "s is its supplement. \n" ); document.write( "you are given that the angle measures 158 less than its supplement. \n" ); document.write( "this means that a = s - 158. \n" ); document.write( "replace a with that in the formula of a + s = 180 to get s - 158 + s = 180 \n" ); document.write( "combine like terms to get 2s - 158 = 180 \n" ); document.write( "add 158 to both sides to get 2s = 338 \n" ); document.write( "solve for s to get s = 169 \n" ); document.write( "since a + s = 180, then a has to be equal to 11. \n" ); document.write( "your angle is 11 degrees. \n" ); document.write( "the supplement to your angle is 169 degrees. \n" ); document.write( "11 + 169 = 180 degrees. there the supplement to the angle of 11 degrees is 169 degrees. \n" ); document.write( "169 - 11 = 158 degrees means the angle is 158 degrees less than its supplement. \n" ); document.write( " |