SOLUTION: In triangle JKL, an angle bisector drawn from vertex K intersects the opposite side at point P. If < JKL is 2y + 25 and < PKL is 8y - 17, what is the measure of < JKL. Show all o

Algebra ->  Triangles -> SOLUTION: In triangle JKL, an angle bisector drawn from vertex K intersects the opposite side at point P. If < JKL is 2y + 25 and < PKL is 8y - 17, what is the measure of < JKL. Show all o      Log On


   



Question 1154152: In triangle JKL, an angle bisector drawn from vertex K intersects the opposite side at point P. If < JKL is 2y + 25 and < PKL is 8y - 17, what is the measure of < JKL. Show all of your work
Answer by MathLover1(20850) About Me  (Show Source):
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If < JKL+=2y+%2B+25 and < PKL=8y+-17, what is the measure of < JKL
since angle bisector drawn from vertex K, we have
< PKJ= < PKL=8y+-17
< JKL=2* <+PKL


2y+%2B+25=2%2A%288y+-17%29
2y+%2B+25=16y+-34
34%2B+25=16y+-2y
59=14y+
y=59%2F14

< JKL+=2y+%2B+25
< JKL+=2%2859%2F14%29+%2B+25
< JKL+=59%2F7+%2B+25
< JKL+=8%263%2F7+%2B+25
< JKL+=33%263%2F7+