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.

Therefore,

Step-by-step explanation:

Given:

KP is the angle bisector of ∠ JKL,

∠JKL = 2y + 25

∠ PKL = 8y - 17

To Find:

∠ JKL = ?

Solution:

KP is the angle bisector of ∠ JKL, .. given

Angle bisector divides the angle in two equal parts such that,

Substituting the values we get

Apply Distributive Property we get

Now substitute y in JKL

Therefore,

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step-by-step explanation: