document.write( "Question 266463: what is the measures of the angles of a parallelogram in which a pair of consecutive angles have measures in a ratio of 3 to 7. \n" ); document.write( "
Algebra.Com's Answer #195807 by vksarvepalli(154)![]() ![]() You can put this solution on YOUR website! in a parallelogram, opposite angles are equal and \n" ); document.write( " the sum of adjacent angles is 180 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now given a pair of consecutive angles have measures in a ratio of 3 to 7\r \n" ); document.write( "\n" ); document.write( "so let the angles be 3x and 7x degrees\r \n" ); document.write( "\n" ); document.write( "so 3x+7x=180\r \n" ); document.write( "\n" ); document.write( "=> 10x=180\r \n" ); document.write( "\n" ); document.write( "thus x=18 degrees\r \n" ); document.write( "\n" ); document.write( "so the angles will be 54 degrees and 126 degrees\r \n" ); document.write( "\n" ); document.write( "the angle opposite to 54 degrees will also be 54 degree and similarly the other angle will be 126 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so the measure of the angles are(in degrees) \n" ); document.write( " \n" ); document.write( " 54,126,54,126 \n" ); document.write( " |