Question

Draw an angle of measure ${153}^{\circ }$ and divide it into four equal parts.

Answer 1

The bisector of an angle is a ray whose end point is the vertex of the angle and which divides the angle into two equal angles.

Steps of construction:
(a) Draw a ray OA.
(b) At O, with the help of a protractor, construct $\angle AOB={153}^{\circ }$
(c) Draw $\overline{OC}$ as the bisector of $\angle AOB.$
(d) Again, draw $\overline{OD}$ as bisector of $\angle AOC$.
(e) Again, draw $\overline{OE}$ as bisector of $\angle BOC.$
(f) Thus, $\overline{OC},\overline{OD}$ and $\overline{OE}$ divide $\angle AOB$ in four equal arts.