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Each of the base angles of a isosceles triangle is 58° and the verticles of the…

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: Option A
Explanation

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).