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Higher June 2017 Unit 2 Q10

WJECHigherCurrent spec2 marksCircle Theorems

10. Points A, B and C lie on the circumference of a circle, centre O.
\(A\hat{C}B = 37^\circ\).

Circle centre O with points A, B and C on the circumference; chords CA and CB, radii OA and OB; angle ACB = 37°

Diagram not drawn to scale

Calculate the size of the reflex angle \(A\hat{O}B\). [2]