Question

With the help of a ruler ad a compass it is not possible to construct an angle.

• A. $37.5°$
• B. $40°$
• C. $22.5°$
• D. $67.5°$

Answer 1

The correct option is B

$40°$

Find the angle which can not be constructed by using a ruler and compass only

It is known that by using a ruler and compass only, we can only draw the angles which are the multiples of angle $15°$.

Here, we can see that angle $40°$ is not a multiple of angle $15°$.

Hence, the correct option is (b)$40°$.