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Question

Construct the following angles and verify by measuring them by a protractor:
(i) 75

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Solution

(i) 75
Steps to construct an angle of 75 :
1. Draw a ray PQ and draw an arc of some radius taking point P as its centre, which intersects PQ at R.
2. Taking R as the centre and with the same radius as before, draw an arc intersecting the previously drawn arc at S.
3. Taking S as the centre and with the same radius as before, draw an arc intersecting the arc at T.
4. Taking S and T as the centre, draw an arc of the same radius to intersect each other at U.
5. Join PU, let it intersect the arc at V.
6. Taking S and V as the centre, draw arcs with radius more than 12SV.
7. Let those intersect each other at W. Join PW which is the required ray that makes an angle of 75 with the ray PQ.

The angle so formed can be measured with the help of a protractor. It comes to be 75

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