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In the Below Fig, L, M and N Are Parallel Lines Intersected by Transversal P at X, Y and Z Respectively. Find ∠1, ∠2 and ∠3. - Mathematics

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

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Solution

From the given figure:

`∠`3 + `∠`m YZ = 180°          [Linear pair]

⇒ `∠`3 = 180° -120°

⇒`∠`3 = 60°

Now line l parallel to m

`∠`1 = `∠`3              [Corresponding angles]

⇒ `∠`1 = 60°

Also m || n

⇒ `∠`2 =120°                   [Alternative interior angle]

∴ `∠`1 = `∠`3 = 60°

`∠`2 = 120°

Concept: Parallel Lines and a Transversal
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.4 | Q 2 | Page 46

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