In the given figure,AB || CD. Find the reflex ∠EFG.
Construct a line l parallel to AB passing through F. l is parallel to both AB and CD. Then,
∠1=34∘ ( alternate angles)
∠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∘
= 281∘