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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 a polygons interior angle?
It is: 180-exterior angle = interior angle
What is the smallest angle of a regular polygon?
60 degrees, for an equilateral triangle, is the smallest interior angle.
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 an interior angle of a normal polygon with 15 sides?
Each interior angle will measure 156 degrees
What is the relationship between the shortest side of a triangle and the measure of the angle opposite it?
The shortest side of a triangle is opposite to the smallest 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°.
What is the measure of the supplementary angle of an interior angle?
The measure of the exterior angle.
What is the measure of a polygons interior angle?
It is: 180-exterior angle = interior angle
What is the smallest angle of a regular polygon?
60 degrees, for an equilateral triangle, is the smallest interior angle.
The shortest side of a triangle is always opposite the angle with the measure?
angle with smallest measure - apex
What is the sum of a polygon if the measure of the interior angle is 40 degrees?
If an interior angle is 40 degrees, the polygon must be irregular since the smallest angle for a regular polygon is 60 degrees. Since it is irregular, the polygon can have any number of sides.
What is the measure of an interior angle of a normal polygon with 15 sides?
Each interior angle will measure 156 degrees
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 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
What is an exterior angle of a triangle and how does the measure of an exterior angle relate to the interior angles?
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
