Edexcel Gcse Mathematics (Linear) - Circle Theorems Page 11

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13.
(a)
F
E
O 130º
D
D, E and F are points on the circumference of a circle, centre O.
Angle DOF = 130°.
(i)
Work out the size of angle DEF.
..........................°
(ii)
Give a reason for your answer.
...............................................................................................................................
...............................................................................................................................
(2)
A
B
85 °
O
x °
C
(b)
In the diagram, A, B and C are points on the circumference of a circle, centre O.
Angle ABC = 85°.
(i)
Work out the size of the angle marked x°.
................................ °
(ii) Give a reason for your answer.
.....................................................................................................................................
.....................................................................................................................................
(2)
(4 marks)

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