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Question
Construct with ruler and compass, angle of 135° measure.
Solution
The below given steps will be followed to construct an angle of 135°.
- 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.
- Taking R as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at S.
- Taking S as centre and with the same radius as before, draw an arc intersecting the arc at T (see figure).
- Taking S and T as centre, draw arcs of same radius to intersect each other at U.
- 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.
- Join PW which is the required ray making 135° with line l.
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