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  • Construct with ruler and compasses, angles of following measures: (e) 45 degrees

Q5.    Construct with ruler and compasses, angles of following measures:

                    (e)    45o

Answers (1)

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The steps of constructions are:

1. Draw a ray OA

2. Taking O as the centre and convenient radius, mark an arc, which intersects OA at X.

3. Taking X as the centre and the same radius, cut the previous arc at Y. Taking Y as the centre and the same radius, draw another arc intersecting the same arc at Z.

4. Taking Y and Z as centres and the same radius, draw two arcs intersecting each other at S. Join OS. Thus, ∠SOA is a required angle of 90°.

5. Draw the bisector of SOA. Hence, ∠MOA = 45°

 

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Divya Prakash Singh

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