Question

In the following figure, AB || CD. Find the reflex ∠EFG.

Answer 1

Construct a line l parallel to AB, passing through F.

l is parallel to both AB and CD.

Then, ∠1 = 34°  ...[Alternate angles]

And ∠2 + 135° = 180°  ...[Consecutive angles]

⇒ ∠2 = 180° – 135°

⇒ ∠2 = 45°

∴ ∠EFG = ∠1 + ∠2

⇒ ∠EFG = 34° + 45°

⇒ ∠EFG = 79°

∴ Reflex of ∠EFG = 360° – ∠EFG

= 360° – 79°  ...[∵ ∠EFG = 79°]

= 281°