Question

find the angle ABC in the given figure with solutions. in a copy

Answer 1

Hope it helps.....

Let the angle B be x.
As we know, Sum of opposite interior angles=The exterior angle
=>Angle A+Angle B=Angle D
=>60°+x=120°
=>x=(120-60)°
=>x=60°

Therefore, angle B=x=60°.

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Answer 2

In triangle ABD...
It is given that angle A is 60° and angle ADC is 120°
To prove that angle ABC = ?
Therefore, angle ADC + angle ADB = 180° ( linear pair )
60°+ angle ADB = 180°
angle ADB = 180°-60°
angle ADB = 120°
Now, in triangle ABD
angle A+ angle B + angle ABD = 180° ( triangle sum property )
angle B = 180°+60°+60°
angle B = 60°
OR
You can do it with sum of interior angle is equal to exterior angle.

....hope it is right.