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Question

Construct 75 and verify by measuring it by a protractor. [3 MARKS]

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Solution

Steps : 1 Mark
Construction : 2 Marks

Steps :
1. Take the given ray PQ . Draw an arc of some radius taking point P as its centre, which intersects PQ at 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 first arc at T.
4. Taking S and T as centre, draw an arc of same radius to intersect each other at U.
5. Join PU. Let it intersect the initial arc at V. Taking S and V as centre, draw arcs with radius more than 12SV.
6. Let those intersect each other at W(as shown in figure). Join PW which is the required ray making 75 with given ray PQ.

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

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