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UKMT Junior Mathematical Challenge, 2023

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Regular pentagon $PQRST$ has centre $O$ . Lines $PH$ , $FI$ and $GJ$ go through $O$ . The six angles at $O$ are equal. What is the size of angle $TGO$ ?

(A) $60^\circ$ (B) $72^\circ$ (C) $75^\circ$ (D) $76^\circ$ (E) $78^\circ$

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