What is an exterior angle of a polygon?
Interior and Exterior Angles of Polygons

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An exterior angle is formed by one side of a polygon and the extension of an adjacent side. The sum of the exterior angles of any polygon is always 360°.
2.
FLASHCARD QUESTION
Front
How do you calculate the measure of each exterior angle of a regular polygon?
Back
To find the measure of each exterior angle of a regular polygon, use the formula: Exterior Angle = 360° / n, where n is the number of sides.
3.
FLASHCARD QUESTION
Front
If an exterior angle of a regular polygon measures 15°, how many sides does it have?
Back
24 sides (calculated using the formula: n = 360° / 15°).
4.
FLASHCARD QUESTION
Front
What is the formula to find the sum of the interior angles of a polygon?
Back
The sum of the interior angles of a polygon can be calculated using the formula: (n - 2) × 180°, where n is the number of sides.
5.
FLASHCARD QUESTION
Front
What is the measure of EACH exterior angle of a 21-gon?
Back
17.14° (calculated using the formula: 360° / 21).
6.
FLASHCARD QUESTION
Front
If the measures of a heptagon are 127°, 152°, 112°, 123°, 135°, and 105°, what is the measure of the remaining angle?
Back
146° (calculated by first finding the sum of the interior angles of a heptagon, which is 900°, and then subtracting the sum of the given angles).
7.
FLASHCARD QUESTION
Front
What is the measure of each interior angle of a regular hexagon?
Back
120° (calculated using the formula: (6 - 2) × 180° / 6).
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