Question

Help me please and thank you

Answer 1

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