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Which of the following angles cannot be constructed using a protractor, a compass, and a...

Mathematics
JAMB 2025

Which of the following angles cannot be constructed using a protractor, a compass, and a sharpened pencil?

  • A. 135°
  • B. 90°
  • C. 145°
  • D. 60°
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Correct Answer: Option C
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).

There is an explanation video available below.


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Explanation Video

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