Since the sum of measures of the two supplementary angles is 180⁰, we have:
180⁰ - 165⁰12' = 179⁰60' - 165⁰12' = (179 - 165)⁰(60 - 12)' = 14⁰48'
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An obtuse angle.
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165
You need to convert the angle to radians and then multiply by the radius arc length = s = radius x angle angle = 165/180 x 3.14 = 2.88 radians s = 3 x 2.88 = 8.64 inch
A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the polygon has 360/15 = 24 sides.