Question

a , b, c are points on circle and tangent at c meetsBA produced at T the given that angle ATC is equal to 36 degree and Angle ACT is equal to 46 degree calculate the angle subtended by a b at the centre of a circle
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Answer 1

Answer:

96°

Step-by-step explanation:

∠ACT=46°,∠ATC=36°

∴∠CAT=180°−(46°+36°)

= 180°−82° = 96°

∴CAB=180∘−96∘=84°

Now, ∠ABC=∠ACT=46°

[angles made in alternate segments]

∴∠BCA=180°−(∠ABC+∠CAB)

= 180°−(46°+84°)=48°

∴∠BOA=2×∠BCA=2×48°=96°

Answer 2

Hello user

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