Question 17 — IGCSE 0580 Specimen 2025 Paper 21
Cambridge IGCSE Mathematics 0580, Extended tier, non-calculator. Topic: Geometry · Angles using geometrical properties. Worth 5 marks.
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Question text
17
D
C
NOT TO
SCALE
34°
X
B
74°
A
The diagram shows a cyclic quadrilateral ABCD.
BD and AC intersect at X.
(a) Angle BAD = 74° and angle BCA = 34°.
Find
(i) angle BDA
Angle BDA = .............................................. [1]
(ii) angle BCD
Angle BCD = .............................................. [1]
(iii) angle ABD.
Angle ABD = .............................................. [1]
(b) In the diagram, triangle ADX is similar to triangle BCX.
BC = 4.5cm, AD = 9 cm and CX = 3.3 cm.
Work out XD.
XD = ......................................... cm [2]
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x
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