Mathematics 0580 · IGCSE · Circle theorems I

Circle theorems I — practice question

ABCD is a cyclic quadrilateral, ABX lies on a straight line and PQ is tangent to the circle at A. Angle CBX = 85^{\circ}, angle BAQ = 55^{\circ} and angle CAD = 42^{\circ}.
(a)[1]

Find the angle CBD.

(b)[1]

Find the angle ACB.

(c)[1]

Find the angle ADC.

(d)[2]

Find the angle BCD.

(e)[1]

Find the angle PAD.

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