In Fig 8.106, l, m and n are parallel lines intersected by transversal p at X, Y and and Z respectively. Find ∠ 1, ∠ 2 and ∠ 3.

Question

In Fig 8.106, l, m and n are parallel lines intersected by transversal p at X, Y and and Z respectively. Find &#x2220; 1, &#x2220; 2 and &#x2220; 3.

Philoid · Accepted Answer

From the given figure,

∠3 + ∠myz = 180^o(Linear pair)

∠3 = 60^o

Now,

Line l ‖ m

∠1 = ∠3 (Corresponding angles)

∠1 = 60^o

Now, m ‖ n

∠2 = 120^o(Alternate interior angle)

Therefore,

∠1 = ∠3 = 60^o

∠2 = 120^o