Using protractor, draw a right angle. Bisect it to get an angle of measure 45°.

We are asked to construct an angle of 90° using protractor and bisect it

We will follow the following algorithm to construct this figure

Steps of Construction

STEP1: Using the protractor, draw a right angle and label it as angle ABC.

STEP2: With centre as B, draw an arc of any radius, intersecting the ray BA at D and the ray BC at E.

STEP3: With centre as D, and taking radius greater than half of DE, draw an arc inside the angle ABC.

STEP4: With centre as E, and taking the same radius, draw another arc, intersecting the previous arc at F.

STEP5: Draw the ray BF.