Question

in figure a b parallel to CD parallel to EF and GH parallel to KL find angle hkl

Answer 1

Answer is 2............

Answer 2

Answer:

145°

Step-by-step explanation:

Let us extend the line GH to N such that it intersects the line AB at M

AB∣∣CD and GM is transversal

⟹ The ∠AMH=∠CHG=60

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(Corresponding Angles )

∠NMB=∠AMH=60

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(Vertically opposite angles)

AB∣∣CD and HK is transversal

⟹ The ∠AKH=∠KHD=25

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(Alternate interior Angles )

NM∣∣KL and KM is transversal

⟹ The ∠NMK=∠LKB=60

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(Corresponding Angles )

⟹∠LKM=180

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−∠KLB (Linear pair)

⟹∠LKM=180−60=120

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⟹∠HKL=∠HKA+∠AKL

⟹∠HKL=25+120=145

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