An Angle Formed by a Diagonal Construction

★ 6/10plane geometry Inscribed Angle Circles

Problem

In square $ABCD$ , $E$ is an arbitrary point on side $CD$ . Draw $EF\perp AC$ at $F$ , and let $BF$ extended meet the extension of $AE$ at the point $G$ ; then connect $CG$ . Find $\angle BGC$ .

Answer

Solution

Difficulty	6/10
Topics	plane geometry, Inscribed Angle, Circles

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