Steps to construct 30°angle with compass and ruler are provided.
Construction of angle 30º Angle
Draw a line AB
Draw an arc with A as a centre which cuts AB at point C.
Draw another arc with same radius at c that cuts arc at point D.
Join A and D. DAB = 600
Take radius half more than arc DC. Draw arc from points D and C. They will intersect each other at point E. Join E and A. EAB = 300