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Construct with ruler and compass, angle of 90° measure. - Mathematics

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Question

Construct with ruler and compass, angle of 90° measure.

Answer in Brief
Diagram

Solution

The below given steps will be followed to construct an angle of 90°.

  1. Draw a line l and mark a point P on it. Now taking P as centre and with a convenient radius, draw an arc of a circle which intersects line l at Q.
  2. Taking Q as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at R. 
  3. Taking R as centre and with the same radius as before, draw an arc intersecting the arc at S (see figure).
  4. Taking R and S as centre, draw an arc of same radius to intersect each other at T.
  5. Join PT, which is the required ray making 90° with line l.

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Chapter 14: Practical Geometry - Exercise 14.6 [Page 291]

APPEARS IN

NCERT Mathematics [English] Class 6
Chapter 14 Practical Geometry
Exercise 14.6 | Q 5. (c) | Page 291

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