Draw an angle  of 55 degree with the help of a protractor. then construct an angle = 27/1/2 degree using a compass.

Answer :

We follow these steps  :

Step 1 :  With help of protractor form $\angle$ ABC  =  55$°$ .

Step 2 :  Take any convenient radius  and center at " B " draw an arc that intersect ray BA at  " P "  and ray BC at " Q " .

Step 3 :  With P as centre and radius length of PQ, draw an arc. With Q as centre and taking same radius draw another arc that cut the previous arc at R.

Step 4 :  Join BR and extend it to " D " .

So,
$\angle$ ABD  =27$\frac{1}{2}$$°$