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ACT Aspire Math: Using a Formula to Calculate Interior Angles 1 Views


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Description:

What is the measure of one interior angle of a regular 10-sided polygon?


Transcript

00:03

All right Masks from uppers Another drill for you Here

00:06

we go What is the measure of one interior angle

00:09

of a regular ten sided polygon This is a polygon

00:17

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

00:20

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

00:22

what angles it might be Working their well The measure

00:25

of one interior angle of a polygon with insides is

00:28

given by the formula and equals and minus two over

00:32

end times one Eighty This polygon has a whopping ten

00:35

sides Yeah what Up their deck A gun So use

00:38

an equals ten in the formula So we have ah

00:40

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

00:44

tense times one eighty Then we have eight times one

00:48

eighty there so that really reduces down there And we

00:50

have eight times eighteen degrees which is one hundred forty

00:53

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

00:57

the measure of one exterior angle of the polygon which

01:00

is given by the formula three hundred sixty degrees divided

01:02

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

01:04

thirty six degrees So interior and exterior angles are supplementary

01:09

So the measure of one interior angle is equal to

01:12

one eighty minus the measure of the exterior angle So

01:16

we get one eighty minus thirty six gets one hundred

01:19

forty four degrees So the measure of one interior angle

01:22

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

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