document.write( "Question 1073184: I am given a trapezoid, BARN, the measure of angle B is 60 degrees. The measure of angle A is 5x-15. If the measure of angle N is 3x-5, determine the measure of angle N and angle R. \n" ); document.write( "
Algebra.Com's Answer #688163 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Sum of the interior angles of a trapezoid is 360 degrees. Draw and label the points and angle measures. I assumed that side AR is parallel to side BN. A key is that measure of interior angle at point R is \"180-%283x-5%29\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Angle at R:
\n" ); document.write( "\"-3x%2B175\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The sum of the angles are A and B is also 180 degrees.
\n" ); document.write( "(Assumed AR parallel to BN)
\n" ); document.write( "\"60%2B5x-15=180\"
\n" ); document.write( "\"5x=180-60%2B15\"
\n" ); document.write( "\"5x=135\"
\n" ); document.write( "\"highlight_green%28x=27%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------------------------
\n" ); document.write( "----------------------------------
\n" ); document.write( "Angle at N: 76 degrees\r
\n" ); document.write( "\n" ); document.write( "Angle at R: 180-76=104 degrees
\n" ); document.write( "---------------------------------
\n" ); document.write( "---------------------------------
\n" ); document.write( "
\n" );