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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Read through (especially theorem 4) of http://www.regentsprep.org/regents/math/geometry/gp15/circleangles.htm This will give you the central angle. What you need (x) is the supplement (i.e. subtract from 180\(^\circ\)) of the central angle.

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Other answers:

110
not too fast...lol Read carefully theorem 4 how to calculate correctly the central angle first. See if you can spot the error.
hmm...??
The central angle is half the sum of the two arcs, which gives you ?
55/
half the sum of the two arcs = (1/2)(28+42) = ?
35
Excellent, so x=?
35?
Please go back to the link and read up on theorem 4 to see what 35 degrees represent, and then reread the diagram of the question. You'll find the answer between the two.

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