Question

Construct with ruler and compasses, an angle of $60°$.

Answer 1

Let's construct an angle $\angle$$60°$ by following the steps -

Step 1: Draw a line $\text{l}$ and mark a point $\text{P}$ on it. Consider $\text{P}$ as the center and with a convenient radius on the compass, draw an arc of a circle such that it intersects the line $\text{l}$ at $\text{Q}$.

Step 2: Consider $\text{Q}$ as the center and with the same radius as before, draw an arc intersecting the previously drawn arc at point $\text{R}$.

Step 3: Join $\text{PR}$. $\text{PR}$ is the required ray making $60°$ with the line $\text{l}$.

Hence, the above drawn angle is required angle.