In the diagram above, O is the centre of the circle ABC,

In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.

  • A.
    26°
  • B.
    13°
  • C.
    80°
  • D.
    102°
Correct Answer: Option D
Explanation

< BAC = (frac{130}{2}) (angle subtended at the centre)

< BAC = 65°

Also, x = 26° (theorem)

y = 65° – 26° = 39°

< AOC = 180° – (39° + 39°)

= 102°

There is an explanation video available below.

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