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In this figure 1, line ‘a’ and line ‘b’ is intersected by the transversal s. And by definition, angle x and angle y are the

corresponding angles. After understanding the concepts of corresponding angles, one can easily determine the unknown angles in different situations.

This can ve clarified by the following solved examples:-

We know that, Angle t + Angle p = 180 degrees

Therefore, Angle t +30 = 180 (Linear pair)

Subtract 30 from both sides,

Angle t + 30 – 30 = 180 – 30

Since corresponding angles are equal,

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

Therefore, Angle 2 + 90 = 180 (Linear pair)

Subtract 90 from both sides,

Angle 2 + 90 – 90 = 180 – 90

Since corresponding angles are equal,