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JAMB Mathematics 2020 Question 28

Question 28

Constructions

What is the obtuse angle formed when the point U is joined to O?

Diagram for this question
  1. A.75°
  2. B.105°
  3. C.120°
  4. D.125°
Show the answer and explanation

Answer: B (105°)

Explanation

The construction makes 90° at Q (line QT) and 60° (point S), and U bisects the angle between them, so QU makes 75° with the line on the right. The obtuse angle with QP is 180° − 75° = 105°.