Question

Which one of the following angles can be constructed using a compass and a ruler?

• A. 30º
• B. 15º
• C. 150º
• D. 45º

Answer 1

Answer: (A), (B), (C)

The correct options are
A

30º

B

15º

C

150º

We can draw ${60}^{\circ }$ and bisect it to get ${30}^{\circ }$. Similarly, we can bisect ${30}^{\circ }$ and get ${15}^{\circ }$. ${150}^{\circ }$ can be constructed by constructing a ${60}^{\circ }$ angle next to a ${90}^{\circ }$ angle. However, ${160}^{\circ }$ cannot be constructed using a compass and a ruler.