Question

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.

Answer 1

• 50°

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°