Question

Construct an angle of ${45}^{\circ }$ from a horizontal line.

Answer 1

Steps of construction:

Step 1. Draw a ray OX.

Step 2. Cut an arc from point O of any length.

Step 3. Cut two arcs A and B on the previous arc (which are at the angle of ${60}^{\circ }$ and ${120}^{\circ }.$

Step 4. Cut two arc from points A and B and their point of intersection is C.

Step 5. Join OC.$\angle$ COX is ${90}^{\circ }.$

Step 6. Bisect $\angle$COX through cutting two arcs from D and E, their point of intersection is F.

Step 7. Join FO, $\angle$ FOX is ${45}^{\circ }$