Sum of the angles made by a chord at the centre and on the major arc of a circle is 225 degree. What will be the angle made at the major arc of this circle?
Answer & explanation
Correct answer: option 4

Concept Used
In a circle, the angle at the center is twice the angle subtended by the same chord at the major arc.
Solution
Let the angle be the center be 2x and the angle at the major arc be x.
2x + x = 225
Solving the above question, we get x = 75 degrees
Therefore, the angle made at the major arc of this circle is 75 degrees.