document.write( "Question 191952: Two angles atre complementary. The sum of the measure of the first angle and one-fourth the second angle is 69 degrees. Find the measure of the angles. \n" ); document.write( "
Algebra.Com's Answer #144017 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Two angles atre complementary. The sum of the measure of the first angle and one-fourth the second angle is 69 degrees. Find the measure of the angles. \n" ); document.write( ". \n" ); document.write( "Two angles are complementary if their sum equals 180 degrees. \n" ); document.write( ". \n" ); document.write( "Let x = measure of second angle \n" ); document.write( "then \n" ); document.write( "180-x = measure of first angle \n" ); document.write( ". \n" ); document.write( "(180-x) + (1/4)x = 69 \n" ); document.write( "720 - 4x + x = 276 \n" ); document.write( "720 - 3x = 276 \n" ); document.write( "-3x = -444 \n" ); document.write( "x = 148 degrees (second angle) \n" ); document.write( ". \n" ); document.write( "First angle: \n" ); document.write( "180-x = 180-148 = 32 degrees (first angle) \n" ); document.write( " \n" ); document.write( " |