In Fig., four line segments PQ, QR, RS and ST are making the letter W,

1.	In Fig., four line segments PQ, QR, RS and ST are making the letter W, PQ\|\|RS and QR\|\|ST. If angle between PQ and QR is 39°, find the values of x and y.
Answer» Since PQ\|\|RS and QR is transversal, so x = 39° [Alternate interior angles] Again QR\|\|ST and RS is a transversal. Therefore, y = x [Alternate interior angles] or y = 39°

In Fig., four line segments PQ, QR, RS and ST are making the letter W, PQ||RS and QR||ST. If angle between PQ and QR is 39°, find the values of x and y.

Answer»

Since PQ||RS and QR is transversal,

so x = 39° [Alternate interior angles]

Again QR||ST and RS is a transversal.

Therefore, y = x [Alternate interior angles]

or y = 39°