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saul85 [17]
3 years ago
11

Help me is it A B C or D

Mathematics
1 answer:
agasfer [191]3 years ago
8 0
Pretty simple:   The   answer is     D
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P is the incenter of △JKL. Find m∠JKP.<br> &amp; can you please explain
dangina [55]

Answer:

  • m∠MKP = 35°

Step-by-step explanation:

<u>Incenter is the intersection of angle bisectors.</u>

  • ∠MJP = ∠OJP, ∠MKP = ∠NKP, ∠NLP = ∠OLP

<u>First find the value of x:</u>

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  • 7x - 5x = 4 + 6
  • 2x = 10
  • x = 5

<u>Find the angle MJP:</u>

  • 7*5 - 6 = 29°

<u>We know sum of interior angles of a triangle is 180°. Using this find the missing angle measure:</u>

  • 2*m∠MJP + 2*m∠NJP + 2*m∠MKP = 180°
  • m∠MJP + m∠NJP + m∠MKP = 90°
  • 29° + 26° + m∠MKP = 90°
  • m∠MKP = 90° - 55°
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3 years ago
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