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Year 10 Maths - 10A Geometry

Angle Properties of Circles - Theorems 1 and 2

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Questions
Question 1
209849

\(O\) is the centre of the circle. \(A\), \(B\) and \(C\) lie on the circle, with \(C\) on the major arc \(AB\). \(\angle ACB = 35^\circ\).

Angle at the centreCircle centre O. Chord AB near the bottom and C at the top; OA, OB, CA and CB drawn. Angle ACB is 35 degrees; angle AOB is marked with a question mark.35°?OABC

Find the size of \(\angle AOB\), giving a reason.

\(\angle AOB =\) 
70
 \(^\circ\) 2 marks

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