Question

Draw an angle of 75° and draw its bisector.
[3 marks]

Answer 1

Steps for Construction:
1. Draw ∠ABC = 75° using a protractor.
2. Using a compass, with B as centre and any radius, draw an arc such that it cuts the rays BA and BC at D and E respectively.
3. With D as centre and radius more than half of $\overline{DE}$, draw an arc.
4. With E as centre, and the same radius, draw an arc that cuts the previous arc at F.
5. Join $\overline{BF}$.
[1 mark]
$\therefore \overline{BF}$ is the required angular bisector.
[2 marks]