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WAEC Mathematics 2012 Paper

Question : 35

Total: 49

Solution:

Concept:

The angle that an arc subtends at the centre of a circle is twice the angle it subtends at the circumference.

Explanation:

The angle

\angle PSR = 86^\circ

is an angle at the circumference.

The marked angle

x^\circ

is the angle at the centre standing on the same arc.

Using the circle theorem:

x = 2 \times 86^\circ

x = 172^\circ

Answer:

x = 172^\circ

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