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JAMB Mathematics 1997 Question 26

Question 26

Angles and Polygons

From the figure above, FK//GR and FH = GH, ∠RFK = 34° and ∠FGH = 47°. Calculate the angle marked x

Diagram for this question
  1. A.42°
  2. B.52°
  3. C.64°
  4. D.72°
Show the answer and explanation

Answer: B (52°)

Explanation

In the figure F, G are P, Q. Since PK ∥ QR, ∠PRQ = ∠KPR = 34°. PH = QH makes ∠QPH = 47°. In triangle PQR, ∠QPR = 180° − 47° − 34° = 99°, so x = 99° − 47° = 52°.