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Construct with ruler and compass, angle of 135° measure. - Mathematics

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प्रश्न

Construct with ruler and compass, angle of 135° measure.

संक्षेप में उत्तर
आकृति

उत्तर

The below given steps will be followed to construct an angle of 135°.

  1. Draw a line l and mark a point P on it. Now taking P as centre and with a convenient radius, draw a semi-circle which intersects line l at Q and R.
  2. Taking R as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at S.
  3. Taking S as centre and with the same radius as before, draw an arc intersecting the arc at T (see figure).
  4. Taking S and T as centre, draw arcs of same radius to intersect each other at U.  
  5. Join PU. Let it intersect the arc at V. Now taking Q and V as centres and with radius more than `1/2`QV, draw arcs to intersect each other at W.
  6. Join PW which is the required ray making 135° with 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. (f) | पृष्ठ २९१

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