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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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