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°

Answer 1

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°