Higher June 2018 Paper 5 Q16

OCRHigherCurrent spec4 marksCircle Theorems

16 A, B, C and D are points on the circumference of a circle.

Cyclic quadrilateral ABCD with diagonal BD; tangent PQ touches the circle at D; angle ABD = 63 degrees, angle BDQ = 72 degrees, angle x at A (angle DAB) and angle y at C (angle BCD)

Not to scale

PQ is a tangent to the circle at D.
Angle BDQ = 72° and angle ABD = 63°.

(a) Work out angle \(x\).
Give a reason for your answer. [2]
(b) Work out angle \(y\).
Give a reason for your answer. [2]
‹ Previous59 of 62 in Circle TheoremsNext ›