Question

Create an angle of ${30}^{\circ }$by using angle bisection while also using protractor. [3 MARKS]

Answer 1

Steps : 1 Mark
Construction : 2 Marks

Steps :
1. Draw line segment BC of any appropriate length.
2. Using protractor draw line segment AB of any length which makes angle of ${60}^{\circ }$ with BC.
3. Draw an arc of any radius with B as centre. Let the arc intersect AB and BC at E and D respectively.
4. With E and D as centres draw arcs of same radii. Let these 2 arcs meet at F.
5. Join BF. Angle FBC is ${30}^{\circ }$. It is the bisected angle.