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Draw an angle of $ 70^{\circ} $. Make a copy of it using only a straight edge and compasses.
To do:
We have to draw an angle of $70^o$ and make a copy of it using only a straight edge and compasses.
Solution:
Steps of construction:
(i) Let us draw a line $l$ and mark a point $O$ on it. Now, let us mark a point $A$ at a measure of $70^o$ by placing the centre of the protractor on point $O$ of the line.
(ii) Now, let us join point $O$ and point $A$. Therefore, $\overline{OA}$ has the required measure of $70^o$ with the line $l$.
(iii) Now, by taking compasses with any radius let us draw an arc from point $O$ inside the $\overline{OA}$ and mark the point of intersection of the arc with $\overline{OA}$ as point $C$ and intersection with line $l$ as point $B$.
(iv) Now, let us draw another line $m$ of any length and mark a point $P$ on it.
(v) Now, by taking compasses with the radius as before let us draw an arc from point $P$ and mark the point of intersection of this arc with line $l$ as point $D$.
(vi) Now, by taking compasses let us measure the length of $BC$ and draw an arc from point $D$ and mark the point of intersection of this arc with the previous arc as point $E$.
(vii) Now, let us join point $P$ and point $E$. Therefore, the required copy of an angle of measure $70^o$ with the line $m$ is formed.