Question

Draw an angle of measure ${147}^{\circ }$ and construct its bisector.

Answer 1

Steps of construction:

(a) Draw a ray OA.
(b) With the help of protractor, construct $\angle AOB={147}^{\circ }$
(c) Taking centre O and any convenient radius, draw an arc which intersects the arms $\overline{OA}$ and $\overline{OB}$ at P and Q respectively.
(d) Taking P as centre and radius more than half of PQ, draw an arc.
(e) Taking Q as centre and with the same radius, draw another arc which intersects the previous at R.
(f) Join OR and produce it.
(g) Thus, $\overline{OR}$ is the required bisector of $\angle AOB$
$\left[2Mark\right]$

$\left[1Mark\right]$