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Angle and Cyclic Properties of a Circles — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsAngle and Cyclic Properties of a Circles3 Marks
Question
In the given figure, $\angle \mathrm{BAD}=65^{\circ}, \angle \mathrm{ABD}=70^{\circ}$ and $\angle \mathrm{BDC}=45^{\circ}$. Find
(a) $\angle \mathrm{BCD}$
(b) $\angle \mathrm{ADB}$. Hence, show that AC is a diameter of the circle.
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