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Question

With the help of a ruler and compasses it is not possible to construct an angle of
(a) 371°2

(b) 40°

(c) 221°2

(d) 671°2

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Solution

(a) Using a ruler and compass, construct an angle of 150°.
Bisect the angle to get an angle of 75°.
Again bisect the angle to get an angle of 37.5°.

(b) It is not possible to construct an angle of 40° with the help of a ruler and compass.

(c) Using a ruler and compass, construct an angle of 90°.
Bisect the angle to get an angle of 45°.
Again bisect the angle to get an angle of 22.5°.

(d) Using a ruler and compass, construct an angle of 270°.
Bisect the angle to get an angle of 135°.
Again bisect the angle to get an angle of 67.5°.

Hence, the correct option is (b).

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