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In the diagram, O is the centre of the circle and < PQR = 106\(^{\circ}\), fi...


Question

In the diagram, O is the centre of the circle and < PQR = 106\(^{\circ}\), find the value of y.

Options

A) 16

B) 37

C) 74

D) 127

The correct answer is C.

Explanation:

2y + Reflex angle = 360

Reflex angle = 360 - 2y

360 - 2y = 2(106)(angles at a centre = 2ce < of circum.)

360 - 212 = 2y

148 = 2y

y \(\frac{148}{2}\)

y = 74o


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Dicussion (1)

  • 2y + Reflex angle = 360

    Reflex angle = 360 - 2y

    360 - 2y = 2(106)(angles at a centre = 2ce < of circum.)

    360 - 212 = 2y

    148 = 2y

    y \(\frac{148}{2}\)

    y = 74o

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