Mathematics

In figure given below, O is the centre of the circle, use the given information to find the value of x:

In each figure given below, O is the centre of the circle, use the given information to find the value of x. Circles, Concise Mathematics Solutions ICSE Class 8.

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In each figure given below, O is the centre of the circle, use the given information to find the value of x. Circles, Concise Mathematics Solutions ICSE Class 8.

At the point of contact, the angle between tangent and the radius is always 90°.

⇒ ∠APB = 90°

In ΔAPB, using angle sum property

⇒ ∠PAB + ∠PBA + ∠APB = 180°

⇒ x + 52° + 90° = 180°

⇒ x + 142° = 180°

⇒ x = 180° - 142°

⇒ x = 38°.

Hence, the value of x = 38°.

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