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3 years ago

Find the measure of one interior angle for the following regular polygon

Mathematics

1 answer:

kipiarov [429]3 years ago

7 0

Answer:

144 degrees

Step-by-step explanation:

We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:

(n-2)(180) = ?

(10-2)(180) = ?

(8)(180) = 1440.

Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).

1,440/10 = 144

= <u>144 degrees</u>

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3 years ago

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Step-by-step explanation:

In the given picture, Δ ADE is a right triangle

∴ By Pythagoras theorem,

$AD^2+DE^2=AE^2\\\Rightarrow\ (8+4)^2+9^2=AE^2\\\Rightarrow\ AE^2=12^2+9^2\\\Rightarrow\ AE^2=144+81=225\\\Rightarrow\ AE=15\ cm$

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4 years ago

Find the measure of one interior angle for the following regular polygon ​

Find the measure of one interior angle for the following regular polygon