Question

Objective Type Questions: 1 If AB || CD || FG and BC || FE in the given figure, then the measure of reflex <
DEF is A B 55 D С F 135 G (1) 200° (3) 280 E (2) 275 (4) 180°​

Answer 1

Answer:

275 is the correct answer and mark me as brainlist and folow me

Answer 2

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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