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a = 60°
b = 120°
c = 90°
d = 90°
Step-by-step explanation:
Angle XPO = Angle MPX= 50°
Angle XOP = Angle NOX = 70°
So in triangle XOP , Angle OXP = 60° i.e. a
Angle MPO = 50×2 = 100°
Angle NMP = 180 - 100 = 80°
So Angle WMP = 80/2 = 40°
So Angle c = 180° - 50° - 40° = 90°
Angle NOP = 70×2 = 140
Angle ONM = 180° - 140° = 40°
So Angle WNO = 40/2 = 20°
So Angle d = 180° - 70° - 20° = 90°
Angle WMX = Angle WMP = 40°
Angle WNX = Angle WNO = 20°
So in triangle MNW , Angle MWN = 120° i.e. b
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