# Draw an angle of $70^{\circ}$. Make a copy of it using only a straight edge and compasses.

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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.

Updated on 10-Oct-2022 13:38:45