Question
Use a pair of compasses and construct the following angles: $75^\circ $
✓
Answer
Steps of Construction:
1. Draw a ray $O A$.
2. With $O$ as centre and any suitable radius draw an arc cutting $O A$ at $B$.
3. With $B$ as centre and same radius* cut the previous arc at $C$ and then with $C$ as centre cut the arc at $D$.
4. With $C$ as centre and radius more than half $C D$ draw an arc.
5. With $D$ as centre and same radius draw another arc to cut the previous arc at $E$.
6. Join $OE$. Also join $OC$ and produce it to $G$.
7. Draw the bisector OF of $\angle EOG$.
Then, $\angle\text{AOF}=75^\circ$ is the required angle.
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