When two parallel lines are intersected by a transversal then each pair of interior angles are supplementary True or false?

Distribute the referral code to your friends and ask them to register with Tutorix using this referral code.

Once we get 15 subscriptions with your referral code, we will activate your 1 year subscription absolutely free.

Your subscribed friend will also get 1 month subscription absolutely free.

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Text Solution

Solution : (i) If two lines are intersected by a transversal, then corresponding angles are equal. FALSE Reason: If a transversal intersects two PARALLEL LINES then each pair of corresponding angles are equal. (ii) If two parallel lines are intersected by a transversal, then alternate interior angles are equal. TRUE Reason : If a transversal intersects two PARALLEL LINES then each pair of alternate interior angles are equal. (iii) Two lines perpendicular to the same line are perpendicular to each other. FALSE Reason : Two lines perpendicular to the same line are PARALLEL to each other. (iv) Two lines parallel to the same line are parallel to each other. TRUE Reason : Two lines parallel to the same line are parallel to each other. (v) If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are equal. FALSE Reason : If a transversal intersects two PARALLEL LINES then each pair of the interior angles on the same side are supplementary (`180^@`).

If the lines are intersected by a transversal and the co interior angles are supplementary, then lines are.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Suggest Corrections