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 $$90^{\circ}$$MathematicsRS AgarwalStandard IX

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