If p is the incenter of angle JKL, find each measure

m∠JKL = 44°

Step-by-step explanation:

If P is the incenter of ΔJKL, it will be the point of intersection of angles bisectors of the interior angles.

Therefore, ∠KJP ≅ ∠LJP

(7x - 4) = (5x + 4)

7x - 5x = 4 + 4

2x = 8

x = 4

m∠OJK = (7x - 6) + (5x + 4) = 12x - 2

                                            = 12(4) - 2

                                            = 46°

Now in ΔJKO,

m∠OJK + m∠JKO + m∠KOJ = 180°

46° + m∠JKO + 90° = 180° [Given: m∠KOJ = 90°]

m∠JKO = 44°

m∠JKO = m∠JKL = 44°

Therefore, m∠JKL = 44°

the answer is 0.3175 hope that you ^w^

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