document.write( "Question 928312: In parralelogram PQRS, the measure of angle P is (3x-4)degrees degrees. The measure of angle Q is (5x+8) degrees. Find the measures of the angles. \n" ); document.write( "

Algebra.Com's Answer #563633 by KMST(5328) $\"\"$ $\"About$

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Since P and Q are adjacent vertices, the angles are supplementary, so they add up to $\"180%5Eo\"$ :
\n" ); document.write( " $\"%283x-4%29%2B%285x%2B8%29=180\"$
\n" ); document.write( " $\"3x-4%2B5x%2B8=180\"$
\n" ); document.write( " $\"8x%2B4=180\"$
\n" ); document.write( " $\"8x=180-4\"$
\n" ); document.write( " $\"8x=176\"$
\n" ); document.write( " $\"x=176%2F8\"$
\n" ); document.write( " $\"x=22\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"3x-4=3%2A22-4\"$ ---> $\"3x%2B4=66-4\"$ ---> $\"3x-4=62\"$
\n" ); document.write( "Angle P measures $\"62%5Eo\"$ , and so does the opposite angle, R.
\n" ); document.write( "Angles Q and S measure $\"180%5Eo-62%5Eo=118%5Eo\"$
\n" ); document.write( "As a verification, we could calculate
\n" ); document.write( " $\"5x%2B8=5%2A22%2B8\"$ ---> $\"5x%2B8=110%2B8\"$ ---> $\"5x%2B8=118\"$
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