document.write( "Question 1082238: Ray PK bisects ∠LPM, the measure of ∠LPM is 11x°, and the measure of ∠LPK is (4x + 18)°. What is the measure of ∠KPM? \n" ); document.write( "

Algebra.Com's Answer #696300 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!

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\n" ); document.write( " $\"LPK%2BKPM=LPM\"$
\n" ); document.write( " $\"4x%2B18%2BKPM=11x\"$
\n" ); document.write( " $\"KPM=7x-18\"$
\n" ); document.write( "But you also know that since it's a bisector,
\n" ); document.write( " $\"4x%2B18=%2811x%29%2F2\"$
\n" ); document.write( " $\"8x%2B36=11x\"$
\n" ); document.write( " $\"3x=36\"$
\n" ); document.write( " $\"x=12\"$
\n" ); document.write( "Now you can solve for all three angles.
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