In Fig 8.107, AB ||CD ||EF and GH ||KL . Find ∠ HKL .

Question

In Fig 8.107, AB ||CD ||EF and GH ||KL . Find &#x2220; HKL .

Philoid · Accepted Answer

Produce LK to meet GF at N

Now,

∠CHG = ∠HGN = 60^o(Alternate angle)

∠HGN = ∠KNF = 60^o(Corresponding angles)

Therefore,

∠KNG = 120^o

∠GNK = ∠AKL = 120^o(Corresponding angle)

∠AKH = ∠KHD = 25^o(Alternate angles)

Therefore,

∠HKL = ∠AKH + ∠AKL

= 25^o + 120^o

= 145^o

In Fig 8.107, AB ||CD ||EF and GH ||KL. Find ∠HKL.