Using a protractor, draw an angle of measure 72^ . With this angl… - Vidyadip

Question

Using a protractor, draw an angle of measure $72^\circ$. With this angle as given, draw angles of measure $36^\circ$ and $54^\circ$.

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Answer

Steps of construction:
$1.$ Draw an $\angle\text{ABC}$ of $720$ with the help of a protractor.
$2.$ Keeping $B$ as center and any radius draw an arc which intersects $AB$ at $D$ and $BC$ at $E$.
$3.$ Keeping $D$ and $E$ as center and radius more than half of $DE$ draw two arcs which intersect each other at $F$.
$4.$ Join $FB$ which intersects the arc in $(2)$ at $G$.
$5.$ Keeping $D$ and $G$ as center and radius more than half of $DG$ draw two arcs which intersect each other at $H$.
$6.$ Join $HB$.
Therefore $\angle\text{HBC}=54^\circ,\angle\text{FBC}=36^\circ$

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