16 December, 02:21
Line MO bisects angle LMN, m angle LMN = 5x - 28, m angle LMO = x + 31. Find m angle NMO.
16 December, 03:55
Angle NMO = 61°
If MO bisects angle LMN, then
angle LMO = angle NMO
Moreover, LMO is half times LMN
(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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» Line MO bisects angle LMN, m angle LMN = 5x - 28, m angle LMO = x + 31. Find m angle NMO.