Each of the base angles of a isosceles triangle is 58° and the verticles of the triangle lie on a circle. Determine the angle which the base of the triangle subtends at the centre of the circle.

A.

128o

B.

16o

C.

64o

D.

58o

Correct answer is A

Base angle of the triangle = 58°.

The third angle = 180° - (58° + 58°)

= 64°

Angle subtended at the centre = \(2 \times 64° = 128°\) (angle at the centre is twice the angle at the circumference).