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# In the diagram, O is the centre of the circle, < SQR = 60o, < SPR = y and ...

### Question

In the diagram, O is the centre of the circle, < SQR = 60o, < SPR = y and < SOR = 3x. Find the value of (x + y).

A) 110o

B) 100o

C) 80o

D) 70o

### Explanation:

3x = 2 x 60 = 2y (Angle at centre = 2 x angle at circumference)

3x = 2 x 60

x = $$\frac{2 \times 60}{3}$$ = 40o

2 x 60 = 2y

y = 60o

x + y = 40 + 60

= 100o

## Dicussion (1)

• 3x = 2 x 60 = 2y (Angle at centre = 2 x angle at circumference)

3x = 2 x 60

x = $$\frac{2 \times 60}{3}$$ = 40o

2 x 60 = 2y

y = 60o

x + y = 40 + 60

= 100o