Question 14 — IGCSE 0580 March 2025 Paper 22
Cambridge IGCSE Mathematics 0580, Extended tier, non-calculator. Topic: Geometry · Angles using geometrical properties. Worth 5 marks.
Open in interactive question bank →
Question text
14
D
NOT TO
SCALE
E
20°
45°
G
A 110°
C
B
F
A, B, C, D and E lie on a circle.
FG is a tangent to the circle at C.
Angle BAD = 110°, angle ADB = 20° and angle BEC = 45°.
(a) Find angle BCD.
Give a geometrical reason for your answer .
Angle BCD = .................. because .............................................................................................
..................................................................................................................................................... [2]
(b) (i) Find angle DBC.
Angle DBC = ................................................ [2]
(ii) Find angle DCG.
Angle DCG = ................................................ [1]
(cid:300)(cid:219)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:249)(cid:183)(cid:254)(cid:215) [Turn over
© UCLES 2025 (cid:300)(cid:224)(cid:285)(cid:249)(cid:218)(cid:298)(cid:254)(cid:299)(cid:231)(cid:247)(cid:262)(cid:199)(cid:289)(cid:234)(cid:290)(cid:226)(cid:257)(cid:258) 0580/22/F/M/25
(cid:293)(cid:213)(cid:197)(cid:213)(cid:245)(cid:213)(cid:229)(cid:277)(cid:181)(cid:229)(cid:261)(cid:197)(cid:197)(cid:245)(cid:197)(cid:245)(cid:245)(cid:213)
M
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
* 0000800000012 *
12
(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:3)(cid:44)
-5
NIGRAM
S
Mark scheme
