Q. 94.2( 34 Votes )

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

Answer :

From the given figure,

∠3 + ∠y = 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}**

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