Question

Is it possible to construct an angle of $67.5°$, using ruler and compass only?

Answer 1

State whether the construction of angle $67.5°$ using ruler and compass only is possible or not

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 $67.5°$ is a multiple of angle $15°$.

Hence, the construction of angle $67.5°$ using ruler and compass only is possible.