If A and B are two points on a circle such that m (\(\widehat{AB}\)) =

1.	If A and B are two points on a circle such that m (\(\widehat{AB}\)) = 260°. A possible value for the angle subtended by arc BA at a point on the circle isA. 100° B. 75° C. 50° D. 25°
Answer» Option : (C) Arc AB = 260° (Given) Let a point C on the circle We Know that, An angle subtended by an arc at the centre of the circle is double the angle subtended at any point on the circle. ∠ACB = \(\frac{1}{2}\)∠AOB ∠ACB = \(\frac{1}{2}\) x 100 = 50°

If A and B are two points on a circle such that m (\(\widehat{AB}\)) = 260°. A possible value for the angle subtended by arc BA at a point on the circle isA. 100° B. 75° C. 50° D. 25°

Answer»

Option : (C)

Arc AB = 260° (Given)

Let a point C on the circle

We Know that,

An angle subtended by an arc at the centre of the circle is double the angle subtended at any point on the circle.

∠ACB = \(\frac{1}{2}\)∠AOB

∠ACB = \(\frac{1}{2}\) x 100

= 50°

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If A and B are two points on a circle such that m (\(\widehat{AB}\)) = 260°. A possible value for the angle subtended by arc BA at a point on the circle isA. 100° B. 75° C. 50° D. 25°

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