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Question
If A and B are two points on a circle such that m \[ \stackrel\frown{AB}\] = 260°. A possible value for the angle subtended by arc BA at a point on the circle is
Options
100°
75°
50°
25°
Solution
50°
We are given m \[ \stackrel\frown{(AB)}\] = 260°
Suppose point P is on the circle.
Since m \[ \stackrel\frown{(AB)}\] = 260°
So, `angleAOB` = 360° − 260° = 100°
We know that angle subtended by chord AB at the centre is twice that of subtended at the point P
So, `angleAPB` =`(angleAOB)/2 = 100/2` = 50°
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