Edexcel Gcse Mathematics (Linear) - Circle Theorems Page 4

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5.
A
P
86°
O
x
B
Diagram NOT accurately drawn
A and B are points on the circumference of a circle, centre O.
PA and PB are tangents to the circle.
Angle APB is 86°.
Work out the size of the angle marked x.
.........................°
(3 marks)
6.
R
Diagram NOT
accurately drawn
O
x
S
T
R and S are two points on a circle, centre O.
TS is a tangent to the circle.
Angle RST = x.
Prove that angle ROS = 2x.
You must give reasons for each stage of your working.
(4 marks)

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