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?
Answer & explanation
Correct answer: option 4
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