Construct the 75° angles and verify by measuring it by a protractor.
Solution
The below given steps will be followed to construct an angle of 75°.
(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 arc at T (see figure).
(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 arc at V. Taking S and V as centre, draw arcs with radius more than 1/2SV. Let those intersect each other at W. Join PW which is the required ray making 75° with the given ray PQ.
The angle so formed can be measured with the help of a protractor. It comes to be 75º.
