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Question -

In figure, I, m andn are parallel lines intersected by transversal p at X, Y and Z respectively.Find ∠1, ∠2 and ∠3.



Answer -

From figure:

∠Y =120° [Vertical opposite angles]

∠3 + ∠Y = 180° [Linear pair angles theorem]

=> ∠3= 180– 120

=> ∠3= 60°

Line l is parallel to line m,

∠1 = ∠3 [ Corresponding angles]

∠1 = 60°

Also, line m is parallel to line n,

∠2 = ∠Y [Alternate interior angles are equal]

∠2 =120°

Answer: ∠1 =60°, ∠2 =120° and ∠3 =60°.

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