Respuesta :

orlaith2005

Answer:

3.6° = ext. angle

Step-by-step explanation:

For the shape to be a regular polygon, all interior angles must be congruent.

We can find every interior angle by using the formula:

[tex]\frac{180(n-2)}{n}[/tex]

[tex]\frac{180(100-2)}{100}[/tex]

[tex]\frac{180(98)}{100}[/tex]

[tex]\frac{17640}{100}[/tex]

176.4 = each int. angle

We also know that int. and ext. angles are supplementary!

180 = 176.4 - x

3.6° = ext. angle

The measure of each exterior angle is 3.6° provided the regular polygon has 100 sides. This can be obtained by using formula for finding the same.

What is the formula for finding exterior angle of a regular polygon?

The formula for finding exterior angle of a regular polygon is,

⇒ 360°/number of sides

Calculate the exterior angle:

Given that, number of sides = 100

By using the formula, exterior angle =360°/100 = 3.6°

Hence the measure of each exterior angle is 3.6° provided the regular polygon has 100 sides.

Learn more about finding exterior angle of regular polygon here:

brainly.com/question/13163170

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