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Question
Find the value of x° in the following figure:
Sum
Solution
Reflex ∠YOZ = 2∠YXZ
= 2(120°)
= 240°
∠YOZ = 360° – reflex ∠YOZ
= 360° – 240°
= 120°
∴ x = 120°
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Theorem: The angle subtended by an arc of the circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.
Is there an error in this question or solution?
Chapter 4: Geometry - Exercise 4.3 [Page 170]
