JAMB - Mathematics (2025 - No. 9)

Which of the following angles cannot be constructed using a protractor, a compass, and a sharpened pencil?
135°
90°
145°
60°

Explanation

In classical constructions with compass and straightedge, 60° (equilateral), 90° (square), and 135° (90° + 45°) are constructible. 145° is not constructible in general (not a multiple resulting from bisections of constructible angles).

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