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WAEC Mathematics 2016 Question 26

Question 26

Triangles and Quadrilaterals

In the diagram, TX is prependicular to UW, |UX| = 1 cm and |TX| = |WX| = √3 cm. Find ∠UTW.

Diagram for this question
  1. A.135°
  2. B.105°
  3. C.75°
  4. D.60°
Show the answer and explanation

Answer: C (75°)

Explanation

tan∠UTX = 1/√3 so ∠UTX = 30°; triangle TXW is right-angled and isosceles so ∠XTW = 45°. ∠UTW = 75°.