Question

Using your protractor, draw an angle of measure 108°. With this angle as given, draw an angle of 54°.

Answer 1

Draw a ray OA.
With the help of a protractor, construct an angle $\angle$AOB of 108°.

$\because$$\frac{108°}{2}=54°$

$\therefore$ 54° is half of 108°.

To get the angle of 54°, we need to bisect the angle of 108°.
With centre at O and a convenient radius, draw an arc cutting sides OA and OB at P and Q, respectively.
With centre at P and radius more than half of PQ, draw an arc.
With the sane radius and centre at Q, draw another arc intersecting the previous arc at R.
Join O and R and extend it to X.
$\angle$AOX is the required angle of 54°.