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All right Masks from uppers Another drill for you Here

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we go What is the measure of one interior angle

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of a regular ten sided polygon This is a polygon

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of many faces All right We're not sure what it's

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deal is so we're going to try to figure out

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what angles it might be Working their well The measure

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of one interior angle of a polygon with insides is

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given by the formula and equals and minus two over

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end times one Eighty This polygon has a whopping ten

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sides Yeah what Up their deck A gun So use

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an equals ten in the formula So we have ah

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ten minus two over ten times one eighty That's eight

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tense times one eighty Then we have eight times one

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eighty there so that really reduces down there And we

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have eight times eighteen degrees which is one hundred forty

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four degrees We couldn't find the same angle by calculating

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the measure of one exterior angle of the polygon which

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is given by the formula three hundred sixty degrees divided

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by n It's the sides or ten there which is

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thirty six degrees So interior and exterior angles are supplementary

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So the measure of one interior angle is equal to

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one eighty minus the measure of the exterior angle So

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we get one eighty minus thirty six gets one hundred

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forty four degrees So the measure of one interior angle

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of a regular ten sided polygon Yeah it's d one 00:01:25.398 --> [endTime] hundred forty four degrees

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