Question

In Fig, l, m and n are parallel lines intersected by transversal p at X, Y and and Z respectively. Find ∠1, ∠2 and ∠3.

Answer 1

From the given figure,

∠3 + ∠myz = 180°(Linear pair)

∠3 = 60°

Now,

Line l ‖ m

∠1 = ∠3 (Corresponding angles)

∠1 = 60°

Now, m ‖ n

∠2 = 120°(Alternate interior angle)

Therefore,

∠1 = ∠3 = 60°

∠2 = 120°