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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.

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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