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To find the measure of an interior angle in a regular 20-gon, you can use the formula ((n-2) \times \frac{180}{n}), where (n) is the number of sides. For a 20-gon, this becomes ((20-2) \times \frac{180}{20} = 18 \times 9 = 162) degrees. Therefore, each interior angle of a regular 20-gon measures 162 degrees.
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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°.
What is the measure of an interior angle that has a regular polygon with 20 sides?
Each interior angle will measure 162 degrees
How can you get the measure of an interior angle if you have the measure of the exterior angle of a regular polygon?
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
What is the interior angle measure for a regular hexagon?
120°
What is the measure of each interior angle of a regular trapezoid?
A regular trapezoid (!) is a square. And each interior angle of a square is 90 degrees.
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°.
What is the measure of an interior angle that has a regular polygon with 20 sides?
Each interior angle will measure 162 degrees
What is the measure of each interior angle of a fifteen sided regular polygon?
The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.
How can you get the measure of an interior angle if you have the measure of the exterior angle of a regular polygon?
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
What is the measure of an interior angle of a regular decagon?
144
What is the interior angle measure for a regular hexagon?
120°
What is the measure of each interior angle of a regular octagon?
135 Each interior angle of a regular octagon measures 135 degrees.
What is the measure of each interior angle of a regular trapezoid?
A regular trapezoid (!) is a square. And each interior angle of a square is 90 degrees.
What is a measure of an interior angle of a regular octagon?
Each interior angle of a regular 8 sided octagon measures 135 degrees
What is the measure of an interior angle from a regular nonage?
Each interior angle of a regular 9 sided nonagon measures 140 degrees
A regular polygon has an interior angle measure of 168 What kind of polygon is it?
A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.
What is the measure of one interior angle on a regular polygon with an interior angle sum of 2160 degrees?
It will have 14 sides and each interior angle will measure 2160/14 degrees
