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WAEC Mathematics 2011 Paper

Question : 47

Total: 47

Solution:

Concept:

Use corresponding angles on parallel lines and the rule that angles at a point sum to

360^\circ

Explanation:

From the parallel lines,

\angle QPR = \angle STU = 65^\circ

because they are corresponding angles.

Around point

P

, the reflex angle

\angle QPS

\angle QPR

, and

\angle RPS

make a complete revolution.

Therefore,

245^\circ + 65^\circ + x = 360^\circ

This gives

310^\circ + x = 360^\circ

So,

x = 360^\circ - 310^\circ = 50^\circ

Answer:

x = 50^\circ

, which is option D.

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