keyysmh keyysmh

31-08-2021
Mathematics

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

MO bisects LMN mLMN 6x28 mLMO x34 Find mNMO class=

Respuesta :

mhanifa mhanifa

01-09-2021

Answer:

D. 58°

Step-by-step 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

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