SOLUTION: The degree measure of interior angle of a regular hexagon is a. The degree measure of an exterior angle of a regular octagon is b. what is the ratio of a to b?

Algebra ->  Polygons -> SOLUTION: The degree measure of interior angle of a regular hexagon is a. The degree measure of an exterior angle of a regular octagon is b. what is the ratio of a to b?      Log On


   

Question 322007: The degree measure of interior angle of a regular hexagon is a. The degree
measure of an exterior angle of a regular octagon is b. what is the ratio of a to b?
Answer by stanbon(75887) About Me  (Show Source):
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The degree measure of interior angle of a regular hexagon is a. The degree
measure of an exterior angle of a regular octagon is b. what is the ratio of a to b?
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A hexagon has 6 sides and also 6 exterior angles.
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Fact: The sum of the exterior angles is 360.
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Each of your exterior angles is 360/6 = 60 degrees.
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The corresponding interior angle is 180-60 = 120 degrees.
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Ratio of interior to exterior = 120/60 = 2
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Cheers,
Stan H.