Higher June 2017 Paper 5 Q16

OCRHigherCurrent spec4 marksCircle Theorems

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

Circle centre O with points A, B, C and D on the circumference; lines AB, AD, OB, OD, BC and CD are drawn; angle BAD = 52°, angle BOD = x and angle BCD = y

Not to scale

Angle BAD = 52°.

(a) Work out angle \(x\).
Give a reason for your answer. [2]
(b) Work out angle \(y\).
Give a reason for your answer. [2]