Draw ∠AOB = 76° with the help of a protractor. Bisect this angle by using a ruler and compass. Measure the two parts by your protractor and see how accurate you are.

Steps:

1. Draw a ray OA.

2. Place the centre of the protractor at O and the zero line along OA. Mark a point at 76°.

3. Remove the protractor and join O with the marked point and produce it to B. Then ∠AOB = 76°.

4. With O as centre and any suitable radius, draw an arc to meet ray OA at C and ray OB at D.

5. With C as centre and any suitable radius $\left(\gt\dfrac{1}{2}\text{CD}\right)$, draw an arc. Also, with D as centre and the same radius, draw another arc to meet the previous arc at E.

6. Join OE and produce it to form ray OE.

Then OE is the bisector of ∠AOB.

On measuring the two parts with a protractor, we find:

∠AOE = 38° and ∠EOB = 38°.

Hence, ray OE bisects ∠AOB into two equal parts of 38° each.