Q b In fig AB∥CD Find the reflex ∠EFG - Maths - Lines and Angles

Question

Q b In fig AB ∥ CD Find the reflex ∠ E F G

Shruti Tyagi · Accepted Answer

Dear Student,

Line AB∥CDconstruction: draw a line FL parallel to AB and CD∠AEF=1   alternate angles  ⇒∠1=34now ∠CGF+∠DGF=180  --LINEAR PAIR⇒∠CGF+135=180⇒∠CGF=180-135⇒∠CGF=45Now CD∥FL∠CGF=2  --alternate angles hence ∠2=45now ∠1+∠2+∠EFG=360⇒∠1+∠2+∠EFG=360⇒34+45+∠EFG=360⇒79+∠EFG=360⇒∠EFG=360-79⇒∠EFG=281

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Q.b. In fig AB ∥ CD. Find the reflex ∠ E F G .

Q.b. In fig AB $∥$ CD. Find the reflex $∠ E F G$ .