Question

Draw an angle of 65° and draw an angle equal to this angle, using ruler and compasses.

Answer 1

Steps of construction:

(i) Draw ∠AOB = 65° with the help of protractor.

(ii) Draw a ray O’X.

(iii) With O as centre and any radius, draw an arc cutting OA and OB at C and D respectively.

(iv) With O’ as centre and with the same radius, draw an arc, cutting O’X at P.

(v) With P as centre and radius equal to CD, cut the arc through P at Q.

(vi) Join O’Q and produce it to Y.

Then ∠YO’X is the required angle equal to ∠AOB.