# ACT Aspire Math: Using a Formula to Calculate Interior Angles

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

ACT Aspire | Math |

ACT Aspire Math | Measurement |

Math | Measurement |

Product Type | ACT Aspire |

Test Prep | ACT Aspire ACT Aspire Math |

### Transcript

what angles it might be Working their well The measure

of one interior angle of a polygon with insides is

given by the formula and equals and minus two over

end times one Eighty This polygon has a whopping ten

sides Yeah what Up their deck A gun So use

an equals ten in the formula So we have ah

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

tense times one eighty Then we have eight times one

eighty there so that really reduces down there And we

have eight times eighteen degrees which is one hundred forty

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

the measure of one exterior angle of the polygon which

is given by the formula three hundred sixty degrees divided

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

thirty six degrees So interior and exterior angles are supplementary

So the measure of one interior angle is equal to

one eighty minus the measure of the exterior angle So

we get one eighty minus thirty six gets one hundred

forty four degrees So the measure of one interior angle

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