In the diagram, $ABC$ is a straight line. $EG=EB$ and $FE$ is parallel to $AC$. \(\angle EBC

Question

In the diagram, $ABC$ is a straight line. $EG=EB$ and $FE$ is parallel to $AC$. $\angle EBC=48{}^\circ $ and $\angle EBG=73{}^\circ $. Find the value of $x$, $y$, reflex $\angle EFG$, stating your reasons clearly.

Accepted Answer

(a) $x=59$ (b) $y=14$ (c) reflex $\angle EFG=301^\circ$

Angle Relationships Involving Parallel Lines and an Isosceles Triangle

Angle Relationships Involving Parallel Lines and an Isosceles Triangle

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