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JAMB Mathematics 1993 Question 25

Question 25

Angles and Polygons

PQRST is a regular pentagon and PQVU is a rectangle with U and V lying on TS and SR respectively as shown in the diagram above. Calculate TUP.

Diagram for this question
  1. A.18°
  2. B.54°
  3. C.90°
  4. D.108°
Show the answer and explanation

Answer: B (54°)

Explanation

Each angle of a regular pentagon is 108°. At P, angle TPU = 108° − 90° = 18°. In triangle TUP, angle TUP = 180° − 108° − 18° = 54°.