Question

Which of the following angles can be made with the help of ruler and compass?

$35°,40°,57°,75°$

Answer 1

Find the angles which can be made by the ruler and compass

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 $75°$ is a multiple of angle $15°$.

Hence, $75°$ is the angle which can be made by the ruler and compass.