document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193157>Question 1193157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> With MN ∥ QP and ∠M ≅ ∠Q, MNPQ is a right trapezoid. Find the following.<BR>\n" );
document.write( "m∠P in degrees, if m∠MNP − m∠P = 56°<BR>\n" );
document.write( "m∠P = <BR>\n" );
document.write( " the length of side NP (in cm),<BR>\n" );
document.write( " if MN = 14 cm, MQ = 15 cm, and PQ = 22 cm<BR>\n" );
document.write( "NP = ? cm<BR>\n" );
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document.write( "Angles M and Q are the right angles; the sum of angles N and P is 180 degrees.  Given that angle N is 56 degrees more than angle P,<br><BR>\n" );
document.write( "x = angle P<BR>\n" );
document.write( "x+56 = angle N<BR>\n" );
document.write( "x+x+56=180<BR>\n" );
document.write( "2x=124<BR>\n" );
document.write( "x=62<br><BR>\n" );
document.write( "ANSWER 1: Angle P is 62 degrees<br><BR>\n" );
document.write( "Drop a perpendicular from N to QP, forming a right triangle with hypotenuse NP.  The legs of the triangle are MQ=15 and QP-MN=8; the Pythagorean Theorem tells us the hypotenuse is 17.<br><BR>\n" );
document.write( "ANSWER 2: NP = 17<br><BR>\n" );
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