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WAEC Mathematics 2010 Paper

Question : 35

Total: 49

Solution:

Concept:

The marked

\angle PSR = 220^\circ

is a reflex angle, so first convert it to the interior angle at S, then use the sum of interior angles of a quadrilateral.

Explanation:

In quadrilateral

PQRS

, the interior angle at S is

360^\circ - 220^\circ = 140^\circ

The sum of interior angles of a quadrilateral is

360^\circ

So,

\angle SPQ + \angle PQR + \angle QRS + 140^\circ = 360^\circ

58^\circ + 41^\circ + \angle QRS + 140^\circ = 360^\circ

\angle QRS + 239^\circ = 360^\circ

\angle QRS = 360^\circ - 239^\circ = 121^\circ

Answer:

\angle QRS = 121^\circ

, which is Option C.

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