Hi!

Here is the answer to your question.

The below given steps will be followed to construct an angle of 75°.

(1) Draw a line *l* and mark two points O and Q on it, as shown in the figure. Draw an arc of convenient radius, while taking point O as centre. Let it intersect line *l* 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 OU. Let it intersect the arc at V. Now, taking S and V as centres, draw arcs with radius more than ½ SV. Let those intersect each other at P. Join OP, which is the ray making 75° with the line *l*.

In this way ∠POQ = 75° is constructed.

Best wishes!