Draw ∠POQ = 64°. Also draw its line of symmetry.

The line of symmetry of an angle is its angle bisector.

Steps:

1. Draw a ray OP.

2. Place the centre of the protractor at O and the zero line along OP. Mark a point at 64°.

3. Remove the protractor and join O with the marked point and produce it to Q. Then ∠POQ = 64°.

4. With O as centre and any (suitable) radius, draw an arc to meet ray OP at C and ray OQ 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 same radius, draw another arc to meet the previous arc at E.

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

Hence, ray OE is the line of symmetry of ∠POQ, and ∠POE = ∠EOQ = 32°.