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JAMB Mathematics 2016 Paper

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Question : 44

Total: 50

In the cyclic quadrilateral above . Find < PRO

70^o
20^o
50^o
30^o

Solution:

Concept:

The sum of the interior angles of a triangle is

180^\circ

.

So, subtract the two known angles from

180^\circ

to find the missing angle.

Explanation:

From the diagram, the triangle containing

\angle PRO

also has the angles

110^\circ

and

50^\circ

.

Thus,

\angle PRO = 180^\circ - (110^\circ + 50^\circ)

\angle PRO = 180^\circ - 160^\circ

\angle PRO = 20^\circ

.

Answer:

\angle PRO = 20^\circ

, so the correct option is B.

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