Assume that lines that appear to be tangent are tangent. O is the center of each circle. Find the value of x
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Label the radii as OA and OB (OAB = 60) respectively, intersection between OB and tangent is D.
Because they are radii, OA = OB, and since OAB = 60 <=> OAB is an equilateral triangle <=> AOB = 60
OA is perpendicular to the tangent <=> OAD is a right triangle.
<=> x = 90 - AOB = 90 - 60 = 30