Higher November 2021 Paper 2 Q11

EdexcelHigherCurrent spec3 marksCircle Theorems

11

Circle with centre O; BOE is a diameter; ABC is a tangent at B; ODC is a straight line meeting the circle at D; F is on the circle with chords FE and FD; angle BCD = 48°

Diagram NOT accurately drawn

\(B\), \(D\), \(E\) and \(F\) are points on a circle, centre \(O\).
\(ABC\) is a tangent to the circle.
\(ODC\) is a straight line.

\(BOE\) is a diameter of the circle.

Angle \(BCD = 48°\)

Find the size of angle \(DFE\).

(3)