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Question

Construct an angle of $${90}^{\circ}$$ at the initial point of a given ray and justify the construction.


Solution


1. Draw a ray $$OX$$.

2. Cut an arc from point $$O$$ of any length.

3. Cut two arcs $$A$$ and $$B$$ on the previous arc (which are at the angle of $$60^{\circ}$$ and $$120^{\circ}$$).

4. Draw two arcs from points $$A$$ and $$B$$ and their point of intersection is $$C$$.

5. Join $$O-C$$. 

Hence, $$\angle COX$$ is $$90^{\circ}$$

595447_464070_ans.png

Mathematics
RS Agarwal
Standard IX

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