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JAMB Mathematics 2017 Paper

Question : 13

Total: 44

Solution:

Concept:

The angle at the centre of a circle is twice the angle at the circumference when both stand on the same arc.

Explanation:

In the diagram,

\angle RST = 60^\circ

is an angle at the circumference.

The angle

x

is the angle at the centre, and both angles subtend the same arc

RT

Using the circle theorem:

x = 2 \times \angle RST

Substitute the given value:

x = 2 \times 60^\circ

Therefore,

x = 120^\circ

Answer:

x = 120^\circ

(Option C).

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