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UKMT Junior Mathematical Challenge, 2026

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows kite $FGHI$ , in which $IF = FG$ and $GH = HI$ , and parallelogram $HIJK$ . Points $G$ , $H$ and $K$ lie on a straight line. Angle $JKH$ is $80°$ and angle $FGH$ is $85°$ . What is the size of angle $IFG$ ?

(A) $100°$ (B) $110°$ (C) $120°$ (D) $125°$ (E) $150°$

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