In the diagram, O is the centre of the circle, < SQR = 60o, < SPR = y and < SOR = 3x. Find the value of (x + .... Question 23470

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

110^o

100^o

80^o

70^o

Correct answer is B

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

3x = 2 x 60

x = \(\frac{2 \times 60}{3}\) = 40^o

2 x 60 = 2y

y = 60^o

x + y = 40 + 60

= 100^o

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

Aptitude Tests

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