Higher January 2021 Paper 1R Q14

EdexcelHigherCurrent spec4 marksCircle Theorems

14

Circle through B, D, E and F with chords BD, DE, EF, DF and BF; ABC is a tangent at B; angle ABD is 39 degrees and angle EFD is 18 degrees

Diagram NOT accurately drawn

\(B\), \(D\), \(E\) and \(F\) are points on a circle.

\(ABC\) is the tangent at \(B\) to the circle.
Angle \(ABD = 39°\)
Angle \(EFD = 18°\)

Work out the size of angle \(BDE\).
Give reasons for your working.

(4)

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