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If the decagon in exercise 4 is regular, what is the measure

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If the decagon in exercise 4 is regular, what is the measure [#permalink] New post 26 May 2019, 01:13
Expert's post
If a decagon is regular, what is the measure of each interior angle?

[Reveal] Spoiler: OA
144°


Math Review
Question: 5
Page: 260
Difficulty: medium

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Re: If the decagon in exercise 4 is regular, what is the measure [#permalink] New post 26 May 2019, 07:56
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Carcass wrote:
If a decagon is regular, what is the measure of each interior angle?

[Reveal] Spoiler: OA
144°


Math Review
Question: 5
Page: 260
Difficulty: medium


Useful rule: the sum of the angles in an n-sided polygon = (n - 2)(180°)

A decagon has 10 sides
So, the SUM of the angles in a 10-sided polygon = (10 - 2)(180°)
= (8)(180°)
= 1440°

In a REGULAR polygon, all of the angles are EQUAL
So, all 10 angles are the same
So, EACH angle = 1440°/10 = 144°

Answer: 144°

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Brent
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Re: If the decagon in exercise 4 is regular, what is the measure   [#permalink] 26 May 2019, 07:56
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If the decagon in exercise 4 is regular, what is the measure

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