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Draw an angle of measure $ 147^{\circ} $ and construct its bisector.
To do:
We have to draw an angle of measure $147^o$ and construct its bisector.
Solution:
Steps of construction:
(i) Let us draw a line $l$ and mark a point $O$ on the line $l$
(ii) Now, by placing the centre of a protractor at point $O$ let us mark a point $A$ at an angle of measure $147^o$.
(iii) Now, let us join the points $O$ and $A$.
(iv) Therefore, $\overline{OA}$ has the required angle of measure $147^o$ with the line $l$.
(v) Now, by taking compasses with any radius let us draw an arc from the point $O$ and let this intersects point $A$ and the line $l$ let us mark the point of intersection with line $l$ as point $B$.
(vi) Now, by taking the compasses of radius greater than half of $\overline{AB}$ let us draw an arc inside the $\angle 147^o$ and line $l$ from point $A$ and $B$ respectively.
(vii) Let us point the point of intersection of these arcs as $C$. Now, let us join the points $O$ and $C$.
(viii) Therefore, the required bisector of $\angle{147^o}$ is formed.
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