Question on: WAEC Mathematics - 1998
In the diagram, O is the center of the circle and the reflex angle ROS is 264o. Find ∠RTS
A
48o
B
53o
C
66o
D
132o
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Correct Option: A
1. **Find the major angle ROS:** Since the reflex angle ROS is 264°, the major angle ROS can be found by subtracting the reflex angle from 360°.
Major ∠ROS = 360° - 264° = 96°
2. **Apply the rule for the angle at the center and the angle at the circumference:** The angle at the center (major ∠ROS) is twice the angle at the circumference (∠RTS) subtended by the same arc (RS).
3. **Calculate ∠RTS:** ∠RTS = (1/2) * Major ∠ROS = (1/2) * 96° = 48°
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