Question

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

Answer 1

• 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