Question

6. In the given figure, AB || CD. Transversal L cuts AB
and CD at P and Q respectively. Transversal m cuts
AB and CD at Rand S respectively. Find the value
of x and also the measures of angle PQC and angle RSD.​

Answer 1

Answer:

HEY MATE

∵ EG is the bisector of∠AEF.

∴ ∠AEG = ∠GEF = a

Similarly, ∠EFH =∠HFD = b

∴∠GEF = ∠EFH[∵a=b]

[alternate angles]

∴EG || FH

Again ∠AEF = 2a

and ∠EFD = 2b[∵a=b]

∴ ∠AEF = ∠EFD

[∵alternate angles]

∴ AB || CD

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