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This can be better understood by the below figure in which angle 1 and angle 2 are corresponding angles.

.

We know that, Angle 2 + Angle 3 = 180 degrees

Therefore Angle 2 + 60 = 180 (Linear pair)

Subtract 60 from both sides,

Angle 2 + 60 – 60 = 180 – 60

So Angle 2 = 120 degrees.

Since corresponding angles are equal,

We know that, Angle 2 + Angle 3 = 180 degrees

Therefore Angle 2 + 120 = 180 (Linear pair)

Subtract 120 from both sides,

Angle 2 + 120 – 120 = 180 – 120

So Angle 2 = 60 degrees.

Since corresponding angles are equal,