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Question
In the Figure, PT is a tangent to a circle. If m(∠BTA) = 45° and m(∠PTB) = 70°. Find m(∠ABT).

Sum
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Solution
∠ ATP = ∠ PTB - ∠ BTA
= 70° - 45° = 25°
∴ ∠ ABT = ∠ ATP ...(Angles are in alternate segments)
⇒ ∠ ABT = 25°.
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