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In a polygon, an interior angle is formed by two adjacent sides inside the polygon, while an exterior angle is formed between one side of the polygon and the extension of an adjacent side. For any polygon, the sum of the interior angles can be calculated using the formula ((n - 2) \times 180^\circ), where (n) is the number of sides. Conversely, the sum of the exterior angles of any polygon is always (360^\circ), regardless of the number of sides.
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What type of an interior angle of a polygon and its adjacent exterior angle are complementary?
The interior angle of a polygon and its adjacent exterior angle can never be complementary.
What is the exterior angle of a pollygon?
An exterior angle of a polygon is the supplement of the corresponding interior angle. The exterior angle is the angle between an extended sides of the polygon and the next side of the polygon.
What are the interior and exterior angles of a regular polygon?
If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.
The supplement of an exterior angle of a polygon is the?
interior angle
An interior angle of a polygon that is not adjacent to the exterior angle?
Ah...
What type of an interior angle of a polygon and its adjacent exterior angle are complementary?
The interior angle of a polygon and its adjacent exterior angle can never be complementary.
How is an exterior angle of a polygon formed?
180 - interior angle = exterior angle
What is the exterior angle of a pollygon?
An exterior angle of a polygon is the supplement of the corresponding interior angle. The exterior angle is the angle between an extended sides of the polygon and the next side of the polygon.
What are the interior and exterior angles of a regular polygon?
If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.
The supplement of an exterior angle of a polygon is the?
interior angle
How do you measure the interior angle of a polygon?
With a protractor or if you know the exterior angle then it's 180 - exterior angle = interior angle
If the exterior angle of a regular polygon is 20 what is the interior angle of this polygon?
160
What is the interior and exterior angle of a regular polygon?
Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.
An interior angle of a polygon that is not adjacent to the exterior angle?
Ah...
What is the supplement of an exterior angle of a polygon is what angle?
The corresponding interior angle.
Which regular polygon the measure of the exterior angle is twice the measure of the interior angle?
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
How do you work out the interior and exterior angles of a regular polygon?
If the polygon has n sides (or vertices) each exterior angle is 360/n. Each interior angle = 180 - exterior angle = 180 - 360/n
