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Exterior Angles Are ____ Greater Than Their Remote Interior Angles.

a. Always,
b. sometimes,
c. never

1 Answer

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Final answer:

An exterior angle is always greater than its remote interior angles in polygons, as it is equal to the sum of those remote interior angles.

Step-by-step explanation:

The question "Exterior Angles Are ____ Greater Than Their Remote Interior Angles" relates to a fundamental concept in geometry regarding the relationships between exterior angles and interior angles in polygons. The answer to this question is a. Always. An exterior angle of a polygon is equal to the sum of the remote interior angles (those that are non-adjacent to the exterior angle). Therefore, each individual remote interior angle must be smaller than the exterior angle. As such, an exterior angle is always greater than any one of its remote interior angles.

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