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IRISSAK [1]
3 years ago
12

Given: triangle LNK, m of angle NLK =72 degrees. m of angle N=58 degrees. MP is perpendicular bisector of side LK and intersects

it at point M and side NK at point P. if Pk=12 in the following image, find the measure of angle LKN.

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
4 0

Answer:

  • 50°

Step-by-step explanation:

<u>Given triangle LNK </u>

  • m∠NLK = 72°
  • m∠LNK = 58°
  • m∠LKN = ?

<u>Interior angles sum to 180°</u>

  • m∠NLK + m∠LNK + m∠LKN = 180°
  • 72° + 58° + m∠LKN = 180°
  • m∠LKN = 180° - 130°
  • m∠LKN = 50°
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