Question Details

For a regular polygon having 10 sides, the interior angle between the sides of the polygon, in degrees, is

Options

A

396

B

324

C

216

D

144

Show Answer

Correct Answer :

Option D

144

Solution :

The correct answer is 144.

To find the interior angle of a regular polygon, we can use the formula for the measure of each interior angle of a regular polygon with n sides:

Interior Angle=(n-2)×180°n

Here, the polygon has 10 sides, so we substitute n=10 into the formula:

Interior Angle=(10-2)×180°10

First, subtract 2 from 10:

10-2=8

Next, multiply by 180°:

8×180°=1440°

Finally, divide by the number of sides (10):

Interior Angle=1440°10=144°

Thus, the interior angle between the sides of a regular 10-sided polygon is 144 degrees.

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