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What is the measure of an angle of a regular dodecagon?
Interior Angle: 150 degrees (Interior Angle Sum: 1800) Exterior Angle: 30 degrees (Exterior Angle Sum: 360)
What are the properties of dodecagon?
A dodecagon is a polygon with twelve sides and twelve angles. It has a total interior angle sum of 1,440 degrees, with each interior angle measuring 120 degrees in a regular dodecagon. The dodecagon also exhibits rotational symmetry of order 12 and has 12 lines of symmetry. Its exterior angles sum to 360 degrees, with each exterior angle measuring 30 degrees in a regular dodecagon.
What is the measure of one exterior angle of a regular dodecagon?
360/12 = 30 degrees
What is the definition of a regular dodecagon?
A 12 sided shape with equal sides and with equal interior and exterior angles
What is the exterior angle of a regular dodecagon?
For any given polygon, the exterior angles will sum to 360 degrees. Thus, for a regular polygon, dividing by the number of exterior angles (the same as the number of sides) will produce the exterior angle. For a dodecagon (12 sides), 360/12=30 degrees. You can also find the interior angle easily because the interior and exterior angles are supplementary: 180-30=150 degrees for an interior angle.
What is the measure of an angle of a regular dodecagon?
Interior Angle: 150 degrees (Interior Angle Sum: 1800) Exterior Angle: 30 degrees (Exterior Angle Sum: 360)
What is the measure of an interior angle of a regular dodecagon?
Each interior angle measures 150 degrees Each exterior angle measures 30 degrees
The measure of one interior angle of a regular dodecagon?
It is 150 degrees.
What are the properties of dodecagon?
A dodecagon is a polygon with twelve sides and twelve angles. It has a total interior angle sum of 1,440 degrees, with each interior angle measuring 120 degrees in a regular dodecagon. The dodecagon also exhibits rotational symmetry of order 12 and has 12 lines of symmetry. Its exterior angles sum to 360 degrees, with each exterior angle measuring 30 degrees in a regular dodecagon.
What is the measure of each exterior angle on a regular Dodecagon?
It is: 360/12 = 30 degrees
What is the measure of one exterior angle of a regular dodecagon?
360/12 = 30 degrees
What is the definition of a regular dodecagon?
A 12 sided shape with equal sides and with equal interior and exterior angles
What is the exterior angle of a regular dodecagon?
For any given polygon, the exterior angles will sum to 360 degrees. Thus, for a regular polygon, dividing by the number of exterior angles (the same as the number of sides) will produce the exterior angle. For a dodecagon (12 sides), 360/12=30 degrees. You can also find the interior angle easily because the interior and exterior angles are supplementary: 180-30=150 degrees for an interior angle.
What is the interior angle of a regular dodecagon?
Each interior angle measures 144 degrees* * * * *No! The sum of the exterior angles of a polygon is always 360 degrees - no matter how many sides, So the extrior angle of a regular dodecagon is 360/12 = 30 degrees. Since the interior and exterior angles are supplementary, the interior angle is 180-30 = 150 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 each exterior angle of a regular dodecagon?
For the 12-sided polygon, each exterior angle is 30 degrees (360/12).
What is the shape of the twelfth figure?
The shape of the twelfth figure is a dodecagon. A dodecagon is a polygon with twelve sides and twelve angles. It is a regular dodecagon if all its sides and angles are equal. The interior angles of a regular dodecagon measure 150 degrees each.
