If A and B are two points on a circle such that m $\overset{⏜}{(A B)}$ = 260°. A possible value for the angle subtended by arc BA at a point on the circle is

(a) 100°

(b) 75°

(c) 50°

(d) 25°

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Solution

(c) 50°

We are given

Suppose point P is on the circle.

Since

So, = 360° − 260° = 100°

We know that angle subtended by chord AB at the centre is twice that of subtended at the point P

So, = = 50°

Hence, the correct answer is option (c).

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If A and B are two points on a circle such that m (AB)⏜ = 260°. A possible value for the angle subtended by arc BA at a point on the circle is (a) 100° (b) 75° (c) 50° (d) 25°

(c) 50° We are given Suppose point P is on the circle. Since So, = 360° − 260° = 100° We know that angle subtended by chord AB at the centre is twice that of subtended at the point P So, = = 50° Hence, the correct answer is option (c).

If A and B are two points on a circle such that m $\overset{⏜}{(A B)}$ = 260°. A possible value for the angle subtended by arc BA at a point on the circle is

(a) 100°

(b) 75°

(c) 50°

(d) 25°

(c) 50°

We are given

Suppose point P is on the circle.

Since

So, = 360° − 260° = 100°

We know that angle subtended by chord AB at the centre is twice that of subtended at the point P

So, = = 50°

Hence, the correct answer is option (c).