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:
Answer:
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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