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JAMB Mathematics 1979 Question 9

Question 9

Angles and Polygons

In this figure, PQRS is a parallelogram, PS = PT and <PST = 55°. The size of <PQR is

Diagram for this question
  1. A.125°
  2. B.120°
  3. C.115°
  4. D.110°
  5. E.105°
Show the answer and explanation

Answer: D (110°)

Explanation

Triangle PST is isosceles, so <PTS = 55° and <SPT = 180° − 110° = 70°. Adjacent angles of a parallelogram add to 180°, so <PQR = 110°.