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x = 250°

Step-by-step explanation:

"Angle formed between a chord and tangent intersecting on a circle measure the half of the intercepted arc"

From the figure attached,

Angle between the chord and the tangent = 55°

Measure of intercepted arc (minor arc AB) = h°

Therefore, 55° =

And m(minor arc AB) + m(major arc AB) = 360°

h° + x° = 360°

110° + x° = 360°

x° = 360° - 110°°

x = 250°

Therefore, measure of the intercepted arc is 250°.