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Construct the following angles at the initial point of a given ray and justify the construction:
$45^o$
To do:
We have to construct $45^o$ at the initial point of a given ray and justify the construction.
Solution:
Steps of construction:
(a) Draw a line segment $BC$.
(b) With centre $B$ and a suitable radius draw an arc meeting $BC$ at $E$.
(c) With centre $E$, cut off equal arcs $EF$ and $FG$.
(d) Bisect $FG$ at $H$.
(e) Join $BH$ and produce to $X$ so that $\angle XBC = 90^o$.
(f) Bisect $\angle XBC$ so that $\angle ABC = 45^o$.
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