WAEC Mathematics 2012 Objective — Question 23

Question 23 of 50 from the West African Examinations Council (WAEC) Mathematics 2012 Objective paper, with the correct answer and a full explanation.

In the diagram, MN, PQ and RS are three intersecting straight lines, which of the following statement(s) are true? I. t°=y° II. x°+y°+z°+m°=180° III. x°+m°+n°=180° IV. x°+n°=m°+z°

A. I and IV onlyCorrect
B. II only
C. III only
D. IV only

Explanation

Using vertically opposite angles (giving t°=y°, statement I) and angle relationships around the point of intersection, statement IV also holds; the other statements do not hold generally. So I and IV only are true.

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