Construct an angle of 450 from a horizontal line-

Steps of construction : Step 1. Draw a ray nbsp;OX. Step 2. Cut an arc from point nbsp;O nbsp;of any length. Step 3. Cut two arcs nbsp;A nbsp;and nb ...

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Standard VII

Mathematics

Construction of Special Angles without Using Protractor

Construct an ...

Question

Construct an angle of 45⁰ from a horizontal line.

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Solution

Steps of construction :
Step 1. Draw a ray OX.
Step 2. Cut an arc from point O of any length.
Step 3. Cut two arcs A and B on the previous arc (which are at the angle of 60⁰ and 120⁰).
Step 4. Cut two arc from points A and B and their point of intersection is C.
Step 5. Join OC. ∠COX is 90⁰.
Step 6. Bisect ∠COX through cutting two arcs from D and E, their point of intersection is F.
Step 7. Join FO, ∠FOX is 45⁰

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Construct an angle of 450 from a horizontal line.

Construct an angle of 45⁰ from a horizontal line.