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In the Below Fig, Ab || Cd || Ef and Gh || Kl. Find ∠ Hkl - Mathematics

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Sum

In the below fig, AB || CD || EF and GH || KL. Find `∠`HKL

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Solution

Produce LK to meet GF at N.

Now, alternative angles are equal

`∠`CHG = `∠`HGN = 60° 

`∠`HGN = `∠`KNF = 60°          [Corresponding angles]

∴`∠`KNG = 180° - 60° = 120°

`∠`GNK = `∠`AKL = 120°                [Corresponding angles]

`∠`AKH = `∠`KHD = 25°                [Alternative angles]

∴`∠`HKL = `∠`AKH + `∠`AKL = 25° +120° = 145°.

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 20 | Page 48

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