Use less than, equal to, or greater than to complete this statement: the measure of each exterior angle of a regular 5-gon is the measure of each exterior angle of a regular 4-gon.
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The measure of each exterior angle of a regular 5-gon is less than the measure of each exterior angle of a regular 4-gon.

Step-by-step explanation:

5-gon calculation :

The sum of the angles in a polygon = 180 (n-2) , where "n" is the number of sides of a polygon.

The sum of the angles in a regular pentagon = 180 (5-2) = 180*3 = 540°

The measure of the interior angle of a pentagon = Sum of the angles / n

                                                                                 = 540° / 5 = 108°

The measure of exterior angle of a regular 5-gon = 360° - interior angle

                                                                                   = 360° - 108° = 252°

∴ The measure of each exterior angle of a regular 5-gon is 252°

4-gon calculation :

The sum of the angles in a regular 4-gon = 180 (4-2) = 180*2 = 360°

The measure of the interior angle of a 4-gon = sum of the angles / n

                                                                           = 360° / 4 = 90°

The measure of exterior angle of a regular 4-gon = 360° - interior angle

                                                                                   = 360° - 90° = 270°

∴ The measure of each exterior angle of a regular 4-gon is 270°

Since, the measure of each exterior angle of a 5-gon is 252° (which is less than 270° the measure of each exterior angle of a regular 4-gon).

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step-by-step explanation:

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