SOLUTION: Ray PK bisects ∠LPM, the measure of ∠LPM is 11x°, and the measure of ∠LPK is (4x + 18)°. What is the measure of ∠KPM?

Algebra ->  Points-lines-and-rays -> SOLUTION: Ray PK bisects ∠LPM, the measure of ∠LPM is 11x°, and the measure of ∠LPK is (4x + 18)°. What is the measure of ∠KPM?      Log On


   



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?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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LPK%2BKPM=LPM
4x%2B18%2BKPM=11x
KPM=7x-18
But you also know that since it's a bisector,
4x%2B18=%2811x%29%2F2
8x%2B36=11x
3x=36
x=12
Now you can solve for all three angles.