In the adjoining figure, each angle is shown by a letter. Fill in the boxes with the help of the figure.

Corresponding angles.

(1) ∠p and [ ] (2) ∠q and [ ]

(3) ∠r and [ ] (4) ∠ s and [ ]

Interior alternate angles.

(5) ∠s and [ ] (6) ∠w and [ ]

• Given: Line q is transversal is to line m and line l.

• To find corresponding angles of

1) ∠ p

2) ∠ q

3) ∠ r

4) ∠ s

• Explanation:

If we go by the definition, the definition of corresponding angels tells us, if the arms on the transversal of a pair of angles are in the same direction and the other arms are on the same side of the transversal, then it is called a pair of corresponding angles.

So, now in the above given figure we have say, line q making transversal to line m and line l.

1) For ∠p, ∠w is the angle which is in the same side and same direction of transversal so ∠w is the corresponding angle to ∠p.

2) For ∠q, ∠x is the angle which is in the same side and same direction of transversal so ∠x is the corresponding angle to ∠q.

3) For ∠r, ∠y is the angle which is in the same side and same direction of transversal so ∠r is the corresponding angle to ∠y.

4) For ∠s, ∠z is the angle which is in the same side and same direction of transversal so ∠s is the corresponding angle to ∠z.

Now for Interior Alternate angles

Pairs of angles which are on the opposite sides of transversal and their arms on the transversal show opposite directions is called a pair of alternate angles.

When these angels are in the inner side they are called Interior alternate angels.

5) For ∠s the angel which is in the inner side as well as on the opposite side of transversal and it’s arm show opposite direction is ∠x. So ∠s and ∠x form pair of Interior Alternate angel.

6) For ∠w the angel which is in the inner side as well as on the opposite side of transversal and it’s arm show opposite direction is ∠r. So ∠w and ∠r form pair of Interior Alternate angel.