Question

How do we draw aangle?

Answer 1

To construct the required angle, we will use the following property.

Angle made by an arc at any point on the alternate arc is equal to half the angle made at the centre.

The steps of construction are as follows:

(1) Draw a circle of any radius with O as the centre.

(2) Take a point B on the circle and join OB.

(3) Taking O as the centre and OB as the segment, draw an angle of measure 45° such that it intersects the circle at point A.

(Since we need ∠ACB =we have drawn ∠AOB = 45°.)

(4) Join CA and CB.

∠ACB is the required angle.