Question
Question. Points A, B, C, D lie on a circle, centre O. AC is a diameter. Angle BAC = 28° and angle DCA = 35°. Calculate angle BDC, giving a reason for each step.
Mark scheme.
- B1: angle ABC = 90° (angle in a semicircle).
- M1: angle BCA = 180 − 90 − 28 = 62° (angle sum of triangle).
- M1: angle BDC = angle BAC = 28° (angles in the same segment, both subtended by arc BC) — accept any equivalent valid route giving 28°.
- A1: 28°, with all reasons stated. (4)
4 marks · take your time before peeking.
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Generated by TopMyGrade AI · cross-check official sources before relying on the mark-scheme phrasing.