Question

How to construct an angle of $175$ degree.

Answer 1

Since, we can construct the angle which is multiple of $15$ with out using protractor.

ex: ${15}^{\circ },{30}^{\circ },{45}^{\circ },{75}^{\circ },{90}^{\circ },{105}^{\circ },{120}^{\circ },{135}^{\circ }...$ etc

Here. $175=15\times 11+10$

$175$ is not multiple of $15$.

So, ${175}^{\circ }$ degree angle cannot be drawn with the help of a compass and ruler. It has to be drawn with the help of a protractor only