Question

Construct an angle of measure ${22.5}^o$ using compass and ruler.

Answer 1

Step 1: A ray from $OB$ is drawn.

Step 2: Draw a perpendicular bisector to the line $A^{\prime }B$.Join $AO$ and $AB$

Step 3: Draw a perpendicular bisector to the line $AB$ then $\angle BOD={45}^{\circ }$

$\therefore \angle BOD={45}^{\circ }$

Step 4: Draw a perpendicular bisector to the line $BD$

$\therefore \angle BOC={22.5}^{\circ }$

Thus,$\angle BOC$ is the required angle making ${22.5}^{\circ }$