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WAEC Mathematics 2002 Question 40

Question 40

Triangles and Quadrilaterals

In the diagram, PS and QT are two altitudes of ΔPQR. Which of the following is equal to ∠RQT?

Diagram for this question
  1. A.∠PQT
  2. B.∠SRP
  3. C.∠PQR
  4. D.∠SPR
Show the answer and explanation

Answer: D (∠SPR)

Explanation

In right-angled triangles QTR and PSR, ∠RQT = 90° − ∠R and ∠SPR = 90° − ∠R, so they are equal.