Question

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

Answer 1

Steps of construction:

1. Draw ∠AOB = 65° with the help of protractor.
2. Draw a ray O’X.
3. With O as centre and any radius, draw an arc cutting OA and OB at C and D respectively.
4. With O’ as centre and with the same radius, draw an arc, cutting O’X at P.
5. With P as centre and radius equal to CD, cut the arc through P at Q.
6. Join O’Q and produce it to Y. Then ∠YO’X is the required angle equal to ∠AOB.