Question

Construct with ruler and compass an angle of 75 degree and bisect it

Answer 1

Steps of Construction :

(i) Draw a line segment BC.

(ii) At B, draw an angle ABC equal to 75°.

(iii) With centres P and T, draw arcs intersecting each other at L.

(iv) Join BL and produce it to D. Then BD bisects ∠ABC.

Answer 2

Answered

With the help of ruler and compass, draw an angle of 75o and bisect it. Write its steps of construction

Step of Construction:

(i) Take a ray OA. (ii) With O as centre and any convenient radius, draw an arc cutting OA at C. (iii) With C as centre and the same radius, draw an arc cutting the first arc at M. (iv) With M as centre and the same radius, cut off an arc cutting again the first arc at L. (v) With L and M as centre and radius of more than half of LM, draw two arcs cutting each other at B, join OB which is making 90°. (vi) Now with N and M as centres again draw two arcs cutting each other at P. (vii) Join OP.Then, POA = 75°.

(viii) Again with Q and C as centres, draw two arcs cutting each other at R.

(ix) OR bisects the POA which is 75°.