Chandra took a ruled paper. She drew a transversal between two lines. As a result 4 corresponding angles, two pairs of alternate angles and two pairs of interior angles are formed. Let’s find out and number them. Verify by measuring with protractor whether

Question

Chandra took a ruled paper. She drew a transversal between two lines. As a result 4 corresponding angles, two pairs of alternate angles and two pairs of interior angles are formed. Let’s find out and number them. Verify by measuring with protractor whether
(i) corresponding angles are equal in measurement

(ii) alternate angles are equal in measurement and

(iii) the interior angles on the same side of a transversal are supplementary.

Philoid · Accepted Answer

Given that AB||CD and EF is the transversal.

So, if two lines are parallel and cut by a transversal then the corresponding angles are equal,

Alternate interior angles are equal

Alternate exterior angles are equal,

Sum of co-interior angles is 180°.

We can say that,

Corresponding angles are (2,6), (1,5),(4,8)and (3,7)

Alternate angles are (2,8),(1,7),(3,5)and (4,6)

Interior angles on same side of transversal are (3,6) and(4,5).