Question 12 — IGCSE 0580 Oct/Nov 2025 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Geometry · Angles using geometrical properties. Worth 4 marks.
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Question text
12
NOT TO
B SCALE
52°
A y°
O
x°
65°
E
C
D
A, B and C lie on a circle centre O.
DE is a tangent to the circle at C.
Angle ABC = 52° and angle BCE = 65°.
(a) Find the value of x.
Give a geometrical reason for your answer .
x = ........................... because ....................................................................................................
..................................................................................................................................................... [2]
(b) Find the value of y.
y = ................................................ [2]
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