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In the Below Fig, If L || M, N || P and ∠1 = 85°, Find `∠`2. - Mathematics

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 In the below fig, if l || m, n || p and ∠1 = 85°, find `∠`2.

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Solution

Corresponding angles are equal

`∠`1 = `∠`3 = 85°

By using the property of co-interior angles are supplementary

`∠`2 + `∠`3 = 180°

`∠`2 + 55° = 180°

`∠`2 = 180° - 55°

`∠`2 = 95°

∴ `∠`2 = 95°

Concept: Pairs of Angles
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.4 | Q 5 | Page 47

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