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MO bisects LMN, mLMN = 6x-28, mLMO = x+34. Find mNMO.
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MO bisects LMN, mLMN = 6x-28, mLMO = x+34. Find mNMO.

MO bisects LMN, mLMN = 6x-28, mLMO = x+34. Find mNMO.-example-1
User Hamid Asghari
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1 Answer

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Answer:

  • D. 58°

Explanation:

MO is angle bisector of ∠LMN, so:

  • m∠LMN = 2*m∠LMO

Substitute with expressions:

  • 6x - 28 = 2(x + 34)

Solve for x:

  • 6x - 28 = 2x + 68
  • 6x - 2x = 68 + 28
  • 4x = 96
  • x = 24

Find m∠NMO:

  • m∠NMO = m∠LMO = x + 34 = 24 + 34 = 58°

Correct choice is D

User Legion
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