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Q.

Which of the following angle cannot be constructed just with the help of a ruler and a compass?

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a

202.5°

b

70°

c

11.25°

d

315°

answer is B.

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Detailed Solution

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The angles which cannot be constructed by bisecting the standard angles (i.e., multiple of 15°) like 30°, 45°, 60°, 90°, or 180° are the angles that are not possible to be constructed using just a compass and a ruler.

11.25° = 22.5°2=45°22 ,
202.5° = 180°+22.5°=180°+45°2
315° = 180° + 90° + 45° or 360° − 45°

But the angle of 70° cannot be constructed using a ruler and a compass.

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