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?

75 degree

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.