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amm1812
2 years ago
5

Help me please and thank you

Mathematics
1 answer:
posledela2 years ago
5 0

Answer:

m∠N = 85°

Step-by-step explanation:

<u>Properties of a parallelogram</u>

  • 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°

--------------------------------------------------------------------------------------

<u>Additional calculations</u>

m∠M = m∠P = 95°

m∠N = m∠L = 85°

MN = LP

ML = NP

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