Question

Draw an angle of 140° with the help of a protractor and bisect it using ruler and compasses.

Answer 1

Steps of construction:

(i) Draw ∠BAC = 140° with the help of protractor.

(ii) With A as centre and any convenient radius, draw an arc, cutting AC and AB at Q and P respectively.

(iii) With centre P and radius more than `1/2 (hat(PQ))`, draw an arc.

(iv) With centre Q and the same radius as before, draw another arc, cutting the previously drawn arc at a point S.

(v) Join AS and produce it to any point X. Then, ray AX bisects ∠CAB.