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UKMT Junior Mathematical Challenge, 2019

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows a kite $PGRF$ inside rhombus $PQRS$ . Angle $PGQ = 35°$ , angle $PFS = 35°$ , angle $PQG = 120°$ and angle $PSF = 120°$ . What is the size of angle $FPG$ ?

(A) $10°$ (B) $12°$ (C) $15°$ (D) $18°$ (E) $20°$

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