Question
Use a pair of compasses and construct the following angles:
$135^\circ $
$135^\circ $
✓
Answer
Steps of Construction:
1. Draw a ray $OA.$
2. With $O$ as centre and any suitable radius draw an arc above $O A$, cutting it at $B$.
3. With $B$ as centre and same radius as before draw another arc to cut the previous arc at $C$. With $C$ as centre and same radius draw the arc to cut it at $D$. Again with $D$ as centre and same radius cut the arc at $E$.
4. Join $OD$ and produce it to $G$. Then $\angle A O G=120^{\circ}$.
5. With $D$ as centre and radius more than half $DE$ draw an arc.
6. With $E$ as centre and same radius draw another arc to cut the previous arc at $F$ Join $OF.$
7. Draw the bisector $OH$ of $\angle GOF$.
Then, $\angle\text{AOH}=135^\circ$ is the required angle.
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