Question

In the following figure, PQ || RS, TR || QU and ∠PTR = 42°. Find ∠QUR.

Answer 1

Since, PQ || RS and TR is a transversal.

∴ ∠PTR = ∠TRU = 42°  ...(i) [Alternate interior angles]

Also, TR || QU and RS is a transversal.

∴ ∠TRU + ∠QUR = 180°  ...[Co-interior angles]

⇒ 42° + ∠QUR = 180°   ...[Using (i)]

⇒ ∠QUR = 180° – 42° = 138°