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bezimeni [28]
3 years ago
7

Find < JKL (angle) *

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0

Answer:

  • 132°

Step-by-step explanation:

See attached

<h3>Given </h3>
  • JM = 27, ML = 16, JL = 46, NK = 15, m∠KLM = 48°, m∠JKM = 78°, and m∠MJL = 22°
<h3>To find</h3>
  • m∠JKL
<h3>Solution</h3>

<u>JKLM is a parallelogram and therefore has equal opposite angles:</u>

  • ∠JKL = ∠JML and ∠KJM = ∠KLM

<u>Sum of all four is 360°:</u>

  • 2m∠JKL + 2m∠KLM = 360°
  • m∠JKL + m∠KLM = 180°
  • m∠JKL + 48° = 180°
  • m∠JKL = 180° - 48°
  • m ∠JKL = 132°

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