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16 December, 02:21

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

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  1. 16 December, 03:55
    0
    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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