Sum of the angles made by a chord at the centre and on the major arc of a circle is 180 degree. What will be the angle made at the centre of the circle?

120 degree

We know that ,

Angle made by an chord at center is double to the angle made by same chord on the major arc.

Let us consider that , Angle made at major arc = x degree

According to question ,

x + 2x = 180º

3x = 180º

x = 60º

Angle made at centre of circle = 2x

= 2 × 60º

= 120º