Given angle between tangents is 60°
i.e. ∠QPR = 60°
Since Angle at center is double the angle between tangents
∴ ∠OQR = 2 x 60° = 120°
So, we need to draw ∠QOR = 120°
∴ We draw a radius, then second radius at 120° from first.
Also,
Tangent is perpendicular to radius
So, OQ ⟂ QP & OR ⟂ PR
Thus, to make tangents,
we draw perpendicular from point Q and R
So, we draw 90° from point Q and point R
Thus, our figure will look like