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.

Given triangle LNK m of angle NLK 72 degrees m of angle N58 degrees MP is perpendicular bisector of side LK and intersects it at point M and side NK at point P class=

Respuesta :

Answer:

  • 50°

Step-by-step explanation:

Given triangle LNK

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

Interior angles sum to 180°

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