passpadi

2019

Mathematics

JAMB

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: 102°

Explanation

< BAC = 130/2 (angle subtended at the centre) < BAC = 65° Also, x = 26° (theorem) y = 65° - 26° = 39° < AOC = 180° - (39° + 39°) = 102°

< BAC = 130/2 (angle subtended at the centre) < BAC = 65° Also, x = 26° (theorem) y = 65° - 26° = 39° < AOC = 180° - (39° + 39°) = 102°
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