Answer:
m∠N = 85°
Step-by-step explanation:
Properties of a parallelogram
- opposite sides are parallel and equal in length
- opposite angles are equal
- interior angles that lie on the same side of the transversal are supplementary - their sum is 180°
Therefore,
m∠M + m∠N = 180°
⇒ 95° + m∠N = 180°
⇒ m∠N = 180° - 95°
⇒ m∠N = 85°
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Additional calculations
m∠M = m∠P = 95°
m∠N = m∠L = 85°
MN = LP
ML = NP
