Question
Use a pair of compasses and construct the following angles: $15^\circ $
✓
Answer
Steps of Construction:
$1.$ Draw a ray $OA.$
$2.$ With $O$ as centre and any suitable radius draw an arc above $OA$, cutting it at $B.$
$3.$ With $B$ as centre and same radius as before draw another arc to cut the previous arc at $C$. Join $OC$ and prouce it to $D.$
$4.$ Draw the bisector $OE$ of $\angle\text{AQD}.$ Then $\angle\text{AOE}=30^\circ.$
$5.$ Draw the bisector $OF$ of $\angle\text{AOE}.$
Then, $\angle\text{AOF}=15^\circ$ is the required angle.
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