Draw a pair of tangents to a circle of diameter 12 cm which are inclined to each other at an angle of 60 degree.

Dear student,

I will give you a hint:

sum of central angle + angle made by 2 tangents = 180°
as other 2 angles are 90° tangent to the circle.
so central angle is 120°
draw line passing through center O
draw angle 60° on each side. draw tengents where the line of angle intersects the circle on both sides.