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Construct with ruler and compass, angle of 45° measure. - Mathematics

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प्रश्न

Construct with ruler and compass, angle of 45° measure.

संक्षेप में उत्तर
आकृति

उत्तर

The below given steps will be followed to construct an angle of 45°.

  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 centres, draw arcs of same radius to intersect each other at T.
  5. Join PT. Let it intersect the major arc at point U.
  6. Taking Q and U as centres, draw arcs with radius more than QU to intersect each other at V. Join PV.
    PV is the required ray making 45° with the given line l. 

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अध्याय 14: Practical Geometry - Exercise 14.6 [पृष्ठ २९१]

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एनसीईआरटी Mathematics [English] Class 6
अध्याय 14 Practical Geometry
Exercise 14.6 | Q 5. (e) | पृष्ठ २९१

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