document.write( "Question 946934: Two adjacent angles of a parallelogram are in the ratio 4:5. Find the measure of measure of each of its angles.\r
\n" ); document.write( "\n" ); document.write( "What does ratio 4:5 mean? How do we set up the problem to solve for the angles? \n" ); document.write( "

Algebra.Com's Answer #577876 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Two adjacent angles of a parallelogram are in the ratio 4:5. Find the measure of measure of each of its angles.\r
\n" ); document.write( "\n" ); document.write( "What does ratio 4:5 mean? How do we set up the problem to solve for the angles?
\n" ); document.write( "

A ratio of 4:5 signifies 4 + 5, or 9 parts
\n" );
document.write( "Adjacent angles of a parallelogram are congruent\r
\n" );
document.write( "\n" );
document.write( "Method 1:
\n" );
document.write( "Therefore, smaller angle is: , and larger angle is: , or 
\n" );
document.write( "OR
\n" );
document.write( "Method 2:
\n" );
document.write( "Equation: 4x + 5x = 180
\n" );
document.write( "Solve for x, the multiplicative factor
\n" );
document.write( "Multiply value of x by 4 to get smaller angle
\n" );
document.write( "Multiply value of x by 5, or subtract smaller angle from 180 to get larger angle
\n" );
document.write( "Both methods should provide same results. \n" );
document.write( "

\n" );