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