Question

Construct the angle of ${60}^o$ using ruler and compass.

Answer 1

Construction of 30, 60, 90 and 120 Degree Angles

Construction of ${60}^o$ using ruler and compass

Steps of construction:

Step $1.$ Draw a ray $OQ$.

With $O$ as a centre and any suitable radius, draw an arc cutting $OQ$ at point $X$.

Step $2.$ With $X$ as a centre and the same radius, draw another arc to cut the previous arc at $Y$.

Join $OY$and extend it to $P$. Then, $\angle POQ={60}^o$.