Question

Draw the following angles using compasses.
${165}^{\circ }$

Answer 1

$1.$Draw a line segment $AB=6$cm.Mark a point $O$ where $AO=OB=3$cm

$2.$From $B$ draw an arc.Name it as $C$

$3.$From $C$ draw another arc of same length as $BC$

$4.$Bisect the arc $DA$.Join $EO$

$\therefore \angle EOB={120}^{\circ }$

$5$Bisect $\angle EOA=\frac{{30}^{\circ }}{2}={15}^{\circ }$.Join $OF$

$\therefore \angle BOF={60}^{\circ }+{60}^{\circ }+{30}^{\circ }+{15}^{\circ }={165}^{\circ }$