9514 1404 393
Answer:
x = 70
Explanation:
The angle between the tangents is the supplement of the intercepted arc:
x° = 180° -110°
x° = 70°
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Alternate solution
The exterior angle x° is half the difference of the intercepted arcs. Long arc ACB is 360° -110° = 250°, so we have ...
x° = (250° -110°)/2 = 140°/2
x° = 70°
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If you work this alternate solution generically, you find it is the same as the first solution.
x = ((360 -AB) -AB)/2 = (360 -2AB)/2 = 180 -AB