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Year 10 Maths - 10A Geometry

Angle Properties of Circles - Theorems 3 and 4

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Questions
Question 1
209857

\(ABCD\) is a cyclic quadrilateral. \(\angle A = 75^\circ\) and \(\angle B = 98^\circ\).

Cyclic quadrilateralQuadrilateral ABCD with all four vertices on a circle. Angle A is 75 degrees and angle B is 98 degrees.75°98°ABCD

Find the sizes of \(\angle C\) and \(\angle D\), giving a reason.

Part a: \(\angle C =\) 
105
 \(^\circ\) 1 mark
Part b: \(\angle D =\) 
82
 \(^\circ\) 1 mark

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