construct triangleABC,measure angle A =60 degree and measure angle B=30 degree and AB=5.8cm

The rough diagram of triangle ABC would be as follows.

Construction:
Step-1:
Draw a line segement AB = 5.8 cm.

Step-2:
At point A, draw a ray measuring 60 degrees with AB.

Step-3:
At point B, draw a ray measuring 30 degrees with AB such that it intersect the previous ray at C.

This is the required triangle ABC.