Construction of an Angle Equal to a Given Angle without Using Protractor
Construct 75∘...
Question
Construct 75∘ and verify bymeasuring 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∘