Higher November 2020 Paper 1R Q15

EdexcelHigherCurrent spec4 marksCircle Theorems

15

Circle through E, F, D and B with chords EF, DE, DF, DB and BF; ABC is a tangent at B; angle EDF is 40 degrees and angle FBC is 70 degrees

Diagram NOT accurately drawn

\(B\), \(D\), \(E\) and \(F\) are points on a circle.
\(ABC\) is the tangent to the circle at \(B\).

Angle \(EDF = 40^\circ\)
Angle \(FBC = 70^\circ\)

Prove that the tangent \(ABC\) is parallel to \(EF\).
Give a reason for each stage of your working.

(4)

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