O-LevelMathematicsGeometry4024/11 · May/June 2024 · Q165 Marks
A, B, C and D are points on the circumference of a circle centre O. Angle BCD = 58° and angle DBC = 72°. [Figure: Circle with points A, B, C, D on circumference, centre O. Angles 72°, 58° shown.]
- (a)Complete the statement below. Angle DAB = ............... because ...............[2]
- (b)(i)Find angle DOC.[1]
- (b)(ii)Find angle BCO.[2]
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Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [2] Angle DAB = 122° because angles in opposite segments are supplementary
- B1 for angle
- B1 for correct reason
- [1] 144
- [2] 40
- M1 for [angle OCD] = (180-their144)/2
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