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Question
In the given figure, PT is a tangent at T to the circle with centre O. If ∠TPO = 25°, then x is equal to ______.
Options
25°
65°
90°
115°
Solution
In the given figure, PT is a tangent at T to the circle with centre O. If ∠TPO = 25°, then x is equal to 115°.
Explanation:
Since tangent is perpendicular to radius at the point of contact.
∴ ∠PTO = 90°
Hence, by the exterior angle formula, in ΔOTP, we get
x = 90° + 25°
= 115°
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