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find the measure of each interior angle and of each exterior angle of a regular 45-gon. the measure of each interior angle is. . . .and the measure of each exterior angle is ....

Respuesta :

Answer: The measure of each interior angle is 172° and the measure of each exterior angle is 8°.

Step by step solution:

The sum of the interior angles is:

[tex](n-2)\times180=(45-2)\times180=43\times180=7740[/tex]

Now that we have the sum, each interior angle is that over 45:

[tex]\frac{7740}{45}=172[/tex]

Each interior angle is 172°.

Each exterior angle is: 8°

[tex]\frac{360}{45}=8[/tex]

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