Question

Which one of the following angles can not be constructed using a compass and a ruler?

• A. 30º
• B. 15º
• C. 150º
• D. 45º

Answer 1

The correct option is C

150º

We can draw ${60}^{\circ }$ and bisect it to get ${30}^{\circ }$.

Similarly, we can bisect ${30}^{\circ }$ and get ${15}^{\circ }$.

Also, we can draw ${90}^{\circ }$ and bisect it to ${45}^{\circ }$.

But, ${150}^{\circ }$ cannot be drawn using a compass and a ruler.