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Jlenok [28]
3 years ago
14

Subtract 1/8 from 5/6

Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0
-17/24 hope this helped
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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>

  • 7x - 6 = 5x + 4
  • 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°
  • m∠MKP = 35°
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