document.write( "Question 204090This question is from textbook Algebra A Combined Approach
\n" );
document.write( ": One angle of the parallelogram is 15 degrees less than twice the measure of the angle next to it. Find the measure of each angle of the parallelogram. The sum of the angles is 360 degrees. \n" );
document.write( "
Algebra.Com's Answer #154030 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! One angle of the parallelogram is 15 degrees less than twice the measure of the angle next to it. Find the measure of each angle of the parallelogram. The sum of the angles is 360 degrees. \n" ); document.write( "---------------------------- \n" ); document.write( "1st angle: Let its measure be \"x\" degrees. \n" ); document.write( "2nd angle: 2x-15 degrees. \n" ); document.write( "-------------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "2(1st angle + 2nd angle) = 360 degrees \n" ); document.write( "--- \n" ); document.write( "2(x + 2x-15) = 360 \n" ); document.write( "3x-15 = 180 \n" ); document.write( "3x = 195 \n" ); document.write( "x = 65 degrees (2nd angle size) \n" ); document.write( "2x-15 = 130-15 = 115 degrees (Size of 1st angle) \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |