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A region in a plane is said to be convex if, for every two points...

A region in a plane is said to be convex if, for every two points in the region, the line segment joining the two points is completely contained in the region. If a sector of a circle has a central angle with degree measure m > 0, which of the following determines the set of all values of m (less than 360) for which the sector is convex?

A.

0 < m > 90

B.

90 ≤ m ≤ 180

C.

0 < m ≤ 180

D.

180 ≤ m < 360

E.

0 < m < 360

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