Question 11

In the diagram, O is the centre of the circle through the points A, B, C, D and T. HC and HT are tangents to the circle at C and T respectively. AD is produced to meet HT at R OC bisects AD at J. Let C3 = x.

11.1 Write down, with a reason, another angle equal to 3 . (2)

11.2 Show that CHRJ is a trapezium. (5)

11.3 Prove that OC bisects . (3)

11.4 Write down, with a reason, in terms of x (2)

11.5 Determine 2 in terms of x (6)

[18]

TOTAL: 150

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