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JAMB Mathematics 2012 Question 25

Question 25

Angles and Polygons

In the diagram above, QR//TU, ∠PQR = 80° and ∠PSU = 95°. Calculate ∠SUT.

Diagram for this question
  1. A.15°
  2. B.25°
  3. C.30°
  4. D.80°
Show the answer and explanation

Answer: A (15°)

Explanation

∠STU = ∠PQR = 80° (corresponding angles) and ∠TSU = 180° − 95° = 85°. In triangle STU, x = 180° − 80° − 85° = 15°.