#### Question

In each of the following figures, O is the centre of the circle. Find the values of a, b and c.

#### Solution

(i) Here, `b=1/2xx 130°`

(Angle ate he centre is double the angle at the circumference subtended by the same chord)

⇒ b = 65°

Now, a + b 180°

(Opposite angles of a cyclic quadrilateral are supplementary)

⇒ a = 180°- 65°= 115°

Here, `c = 1/2 `Reflex (112°)

(Angle at the cente is double the angle at the circumference subtended by the same chord)

⇒ `c=1/2 xx (360° - 112°)= 124°`

Is there an error in this question or solution?

Solution In Each of the Following Figures, O is the Centre of the Circle. Find the Values of A, B and C. Concept: Chord Properties - Chords Equidistant from the Center Are Equal (Without Proof).