Mathematics

Which of the following angles cannot be constructed using ruler and compass?

  1. 15°

  2. 45°

  3. 75°

  4. 85°

Constructions

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Answer

Using ruler and compass, we can construct angles of 60°, 90° and their bisectors. Angles such as 15°, 30°, 45°, 75°, etc., can be constructed by repeatedly bisecting or by adding/subtracting these standard angles. However, 85° cannot be constructed using only a ruler and compass.

Hence, option 4 is the correct option.

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