Mathematics

Mathematics

Problem

In a circle with centre OO, ACAC is a diameter and BB is another point on the circle such that ∠ACB=28∘\angle ACB = 28^{\circ}. a. (i) Find the measure of ∠AOB\angle AOB. b. (ii) Calculate ∠ABC\angle ABC. c. (iii) Determine the reflex angle ∠AOB\angle AOB that subtends the major arc ABAB. State clearly how you arrive at your answer.

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