Question

Drawa angle PQR=105° using protractor. Using compass,construct an angle of 52.5° with the help 0f angle PQR

Answer 1

By bisecting the angle PQR, we can get the angle of 52.5. We can do it using compass by doing the following step:
1) First taking Q as the centre, construct an arc which passes through ray QP and ray QR
2) Name the point at which it bisects ray QP as A and the point at which it bisects QR as B
3) By taking A as centre construct an arc
4) Then by taking B as centre construct another arc
5) Name the point at which these arcs intersect as X
6) Now join QX
Both the angle XQR and the angle PQX will measure 52.5 degrees