Question

Draw an angle of 110° with the help of a protractor and bisect it. Measure each angle.

Answer 1

Draw ∠BXA = 110° with the help of a protractor.

Now, we use the following steps for required construction

1. Taking X as centre and any radius draw an arc to intersect the rays XA and XB, say at E and D, respectively.

2. Taking D and E as centres and with the radius more than `1/2` DE, draw arcs to intersect each other, say at F.

3. Draw the ray XF. Thus, ray XF is the required bisector of the angle BXA. On measuring each angle, we get

∠BXC = ∠AXC = 55°  ...[∴ ∠BXC = ∠AXC = `1/2` ∠BXA = `1/2` × 110° = 55°]