In Fig. 8.127, AB||CD||EF and GH||KL. The measure of ∠HKL is
A. 85°
B. 135°
C. 145°
D. 215°
Answers
The measure of ∠HKL is 145°.
Option (C) 145° is correct.
Step-by-step explanation:
Construction :
Extend LK to meet line GF at point P.
From figure 8.127 , CD || EF,
∠CHG =∠HGP = 60° [alternate angles are equal]
∠HGP =∠KPF = 60° [Corresponding angles are equal]
Hence, ∠KPG =180° – 60° = 120°
=> ∠GPK = ∠AKL = 120° [Corresponding angles are equal]
∠AKH = ∠KHD = 25° [alternate angles are equal]
Therefore, ∠HKL = ∠AKH + ∠AKL
∠HKL = 25° + 120°
∠HKL = 145°
Hence, The measure of ∠HKL is 145°
Hope this answer will help you…
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Answer:
The measure of ∠HKL is 145°.
Option (C) 145° is correct.
Step-by-step explanation:
Construction :
Extend LK to meet line GF at point P.
From figure 8.127 , CD || EF,
∠CHG =∠HGP = 60° [alternate angles are equal]
∠HGP =∠KPF = 60° [Corresponding angles are equal]
Hence, ∠KPG =180° – 60° = 120°
=> ∠GPK = ∠AKL = 120° [Corresponding angles are equal]
∠AKH = ∠KHD = 25° [alternate angles are equal]
Therefore, ∠HKL = ∠AKH + ∠AKL
∠HKL = 25° + 120°
∠HKL = 145°
Hence, The measure of ∠HKL is 145°
Step-by-step explanation:
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