Using a compass draw an angle of measure ^@ 135^\circ. ^@ | Math Question and Answer

Answer:

Step by Step Explanation:

Draw a line $AB.$
With $O$ as the centre and any convenient radius, draw an arc, cutting $AB$ at $P$ and $Q.$
With $Q$ as the centre and the same radius, draw an arc, cutting the arc drawn in step $2$ at $R.$
With $R$ as the centre and the same radius, draw an arc, cutting the arc drawn in step $2$ at $S.$
With $R$ as the centre and the same radius, draw an arc.
With $S$ as the centre and the same radius, draw an arc, cutting the arc drawn in the previous step at $T.$
Draw $OT$ and produce it to $U.$
With $P$ as centre and radius more than half of $PX,$ draw an arc in the interior of $\angle AOU.$
With $X$ as centre and the same radius, as in the above step, draw another arc intersecting the arc drawn in the previous step at $Y.$
Join $OY$ and produce it to $V. \angle BOV$ is the required angle of measure $135^\circ.$

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