document.write( "Question 717752: what is the measure of each base angle of an isosceles triangle if its third angle measures 36 degrees and its two congruent sides measures 20 units? \n" ); document.write( "
Algebra.Com's Answer #440497 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! The base angles of an isosceles triangle are equal. \n" ); document.write( "Let b = measure of the base angle. Since the sum of the angles is 180 degrees we have \n" ); document.write( "(1) b + b + 36 = 180 or \n" ); document.write( "(2) 2*b = 180 - 36 or \n" ); document.write( "(3) 2*b = 144 or \n" ); document.write( "(4) b = 72 \n" ); document.write( "Check this. \n" ); document.write( "Is ( 72 + 72 + 36 = 180)? \n" ); document.write( "Is ( 5*36 = 180)? \n" ); document.write( "Is (180 = 180)? Yes \n" ); document.write( "Answer: The base angles are 72 degrees. \n" ); document.write( "PS You don't need the length of the sides.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |