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WAEC Mathematics 1997 Question 23

Question 23

Angles and Polygons

Which of the following statements is/are true when two straight lines intersect?
I. Adjacent angles are equal
II. Vertically opposite angles are equal
III. Adjacent angles are supplementary

  1. A.II only
  2. B.I and II only
  3. C.I and III only
  4. D.II and III only
  5. E.I, II and III.
Show the answer and explanation

Answer: D (II and III only)

Explanation

Vertically opposite angles are always equal and adjacent angles on a straight line add to 180°; adjacent angles are equal only when the lines are perpendicular.