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Using your protractor, draw an angle of measure $108^o$. With this angle as given, draw an angle of $54^o$.
To do:
We have to draw an angle of measure $108^o$ and with this angle as given, we have to draw an angle of $54^o$.
Solution:
Steps of construction:
(i) With the help of a protractor draw an angle $ABC = 108^o$.
(ii) With centre $B$ and a suitable radius, draw an arc meeting $BC$ at $E$ and $AB$ at $F$.
(iii) With centre $E$ and $F$ and radius more than half of $EF$, draw arcs intersecting each other at $G$.
(iv) Join $BG$ and produce it to $D$.
Therefore, $\angle DBC = 54^o$.
Updated on: 10-Oct-2022
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