72 degrees. Or, using the formula for the sum of interior angles, 180 (n - 2) , where n = 5, gives 540 degrees.
Step-by-step explanation:
The pentagon is regular, so 540/5 gives 108 for each interior angle. The exterior and interior angles are supplementary, so the exterior angle = 180 - 108 = 72.
The measure of each exterior angle =360°/n, where n = number of sides of a polygon. One important property about a regular polygon's exterior angles is that the sum of the measures of the exterior angles of a polygon is always 360°.
Answers & Comments
Answer:
72 degrees. Or, using the formula for the sum of interior angles, 180 (n - 2) , where n = 5, gives 540 degrees.
Step-by-step explanation:
The pentagon is regular, so 540/5 gives 108 for each interior angle. The exterior and interior angles are supplementary, so the exterior angle = 180 - 108 = 72.
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Answer:
The measure of each exterior angle =360°/n, where n = number of sides of a polygon. One important property about a regular polygon's exterior angles is that the sum of the measures of the exterior angles of a polygon is always 360°.