document.write( "Question 410245: The measure of one interior angle of a parallelogram is 0.25 times the measure of another angle. Find the measure of each. \n" ); document.write( "
Algebra.Com's Answer #288533 by stanbon(75887) ![]() You can put this solution on YOUR website! The measure of one interior angle of a parallelogram is 0.25 times the measure of another angle. Find the measure of each. \n" ); document.write( "------------------------ \n" ); document.write( "Sum of the angles = 360 degrees. \n" ); document.write( "----- \n" ); document.write( "Let the two larger angles have measure \"x\": \n" ); document.write( "----- \n" ); document.write( "Then the two smaller angles have measure \"0.25x\": \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "x + x + 0.25x + 0.25x = 360 \n" ); document.write( "2.5x = 360 degrees \n" ); document.write( "x = 144 degrees (measure of each of the 2 larger angles) \n" ); document.write( "--- \n" ); document.write( "0.25x = 38 degrees (measure of each of the 2 smaller angles) \n" ); document.write( "----- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " |