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Paper 1 · Circle geometry

In the diagram, ADAD is the diameter of the circle ABCDABCD. Chords BCBC and CDCD are equal and CA^B=33°C\hat{A}B = 33°. The side CDCD is produced to EE. Calculate BC^DB\hat{C}D, in degrees.

Circle geometry - ZIMSEC Mathematics (Syllabus A) past paper diagram

Model answer

114

Also accepted: 114°

ZIMSEC Mathematics Paper 1, June 1999, Q702

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