Practicing Success
AB is the chord of a circle and O is the center of a circle. ∠AOB = 130 degree. What is the angle subtended by the same chord in the major segment of the circle ? |
80 degree 55 degree 65 degree 115 degree |
65 degree |
Chord AB subtends \(\angle\)AOB at the center and \(\angle\)ADB at a point D of the remaining parts of a circle, therefore, \(\angle\)AOB = 2\(\angle\)ADB = \(\angle\)ADB = \(\frac{1}{2}\)AOB = \(\frac{1}{2}\) x 130 = \({65}^\circ\). |