CBSE Class 9 Answered

Steps of construction:

1. Draw a line segment AB = 7.5cm.

2. With A as centre, and radius more than half of AB, draw arcs above and below AB.

3. With B as centre and the same radius as in step 2 draw arcs intersecting the previous arcs at R and S.

4. Join RS intersecting AB at P.

5. Then P is the point of bisection of line segment AB.

6. With P as centre and any convenient radius draw an arc intersecting PB and RB at L and M respectively.

7. Taking any convenient radius, draw arcs from L and M and let them intersect at N.

8. Join PN and produce it to X.

Then angle XPB is the required angle equal to 45^o.