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In the Figure, Pt is a Tangent to a Circle. If M(∠Bta) = 45° and M(∠Ptb) = 70°. Find M(∠Abt). - Mathematics

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प्रश्न

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

योग

उत्तर

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

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अध्याय 15: Circles - Exercise 2

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आईसीएसई Mathematics [English] Class 10
अध्याय 15 Circles
Exercise 2 | Q 12
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