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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