megab56 megab56

24-09-2019
Mathematics

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Line MO bisects angle LMN, m angle LMN = 5x - 28, m angle LMO = x + 31. Find m angle NMO.

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rodolforodriguezr rodolforodriguezr

24-09-2019

Answer:

Angle NMO = 61°

Step-by-step explanation:

If MO bisects angle LMN, then

angle LMO = angle NMO

Moreover, LMO is half times LMN

So

(5x-28)/2 = x+31

5x-28 = 2x+62

5x-2x = 62+28

3x = 90

x = 30

So, angle NMO = x+31 = 30+31 = 61°

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