Question

Use the proper geometrical instruments of construct the following angles. Use the compass and the ruler to bisect them.
(4) 90°

Answer 1

Steps of Constructions:
(1) Draw an angle ∠ABC of measure 90°.
(2) Now place the point of a compass on point B and with any convenient distance draw an arc to cut rays BA and BC. Name the points of intersection as P and Q respectively.
(3) Now, place the point of the compass at P and taking a convenient distance, draw an arc inside the angle. Using the same distance, draw another arc inside the angle from the point Q, to cut the previous arc.
(4) Name the point of intersection as point O. Now draw ray BO. Ray BO is the bisector of ∠ABC.