Question

In figure, AB || CD || EF and GH || KL. Find ∠HKL.

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Answer 1

Answer:

Correct option is

C

145

∘

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

∘

(Corresponding Angles )

∠NMB=∠AMH=60

∘

(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

Answer 2

Answer:

I think the answer is 135.

Step-by-step explanation:

You have to draw some imaginary lines