document.write( "Question 330821: The sum of the measures an obtuse angle & an acute angle is 160 . the sum of the complement of the acute angle & 1/2 the supplement of the obtuse angle is 75 .find the measures of two angles. \n" ); document.write( "
Algebra.Com's Answer #237258 by jrfrunner(365)![]() ![]() You can put this solution on YOUR website! two angles are complement of each other if they add to 90 degrees \n" ); document.write( "Two angels are supplement of each other if the add to 180 degrees\r \n" ); document.write( "\n" ); document.write( "Let A=acute angle, O=Obtuse angle \n" ); document.write( "then complement of A = 90-A, supplement of O = 180-O\r \n" ); document.write( "\n" ); document.write( "You are given \n" ); document.write( "1) A+O =160 \n" ); document.write( "2) (90-A)+1/2(180-O)=75 You have two equations and two unknowns\r \n" ); document.write( "\n" ); document.write( "simplify the second equation: \n" ); document.write( "90-A+90-O/2=75 \n" ); document.write( "105=A + O/2 \n" ); document.write( "from first equation solve for A=160-O and substitute in 105=A+O/2 \n" ); document.write( "105=160-O+O/2 \n" ); document.write( "-55=-O/2 \n" ); document.write( "110=O and A=160-O=50 \n" ); document.write( " |