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Determine the value of $x$.
Mathematics 0580 · IGCSE · Circle theorems I
Circle theorems I — practice question
The points $E$, $F$, $G$ and $H$ all lie on the circle, with $EG = EH$. The lines $HF$ and $EG$ meet at $K$. $ET$ is tangent to the circle at $E$. Angle $FET$ is $47^{\circ}$ and angle $FEG$ is $25^{\circ}$.