Angle Subtended by Minor Segment, Major Segment and Diameter at the Circumference

Q.

In the given figure, AB is the diameter of the circle. Find the value of $x$.

1. ${30}^{\circ }$

2. ${45}^{\circ }$

3. ${90}^{\circ }$

4. ${60}^{\circ }$

Q. If the angles subtented by a minor arc is 30 degree, then what is the angle subtended by the major arc?
[1 Mark]

Q.

A chord AB of a circle is equal to the radius of the circle. Find the angles subtended by the chord at points on the major arc and the minor arc.

1. ${30}^{\circ },{150}^{\circ }$

2. ${150}^{\circ },{30}^{\circ }$

3. ${120}^{\circ },{60}^{\circ }$

4. ${60}^{\circ },{120}^{\circ }$