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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.
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  • 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).

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