Find the angle X
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Answer:
As per the given condition,
AB=CD that means Angle ACB = Angle DAC = 20°
Now if we look in ∆ABC,
Angle A+ Angle B + Angle C= 180°(Angle sum property of a triangle)
Angle A+ 80°+20°=180°
Angle A= 180°-100°=80°
Now,
Angle BAC= Angle BAD+ Angle DAC
80°=Angle BAD+20°
Angle BAD=80°-20°=60°
Now,in ∆ABD
Angle A+ Angle B + Angle D= 180°
60°+80°+Angle D= 180°
Angle D= 180°-140°=40°
Hence x=40°
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