CIRCLES - 1

Find x in the following figure below if O is the centre of the circle
(diagram not to scale);

solution

Angle at the centre = 2 x (angle at circumference)

Let angle at center be y

So,    y = 2 x 105;

        y = 210⁰;

2x and y are opposite angles

then,

      y + 2x =360⁰;

      210⁰ + 2x = 360⁰;

      2x = 360⁰ – 210⁰;

      2x = 150⁰;

      2x = 150⁰;

       2       2

      2x = 150⁰;

      2        2

x = 75⁰

Hence x = 75⁰

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QUIZ-1

Find x in the following figure;