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Each exterior angle measures 10 degrees
Each interior angle measures 170 degrees
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∙ 11y ago
Durly Hernández
Hailey Atkinson
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How many sides does a regular polygon with an exterior angle measure of 36 degrees have?
b
What is a regular polygon with each exterior angle of 36 degrees?
It is: 360/36 = 10 sided regular decagon polygon
What is the exterior angle of a decagon?
Exterior Angle for a decagon is 36 Degrees.
36 sided shape?
36 gon
Abcdefghij is a regular decagon if sides CD and ab are extended to form angle k what is the measure of angle k?
The total degree measure in a decagon is 180(8) since a decagon can be broken up into 8 triangles. In a regular decagon, each angle has the same measure: 180(8)/10=18(8)=144. The supplementary angle, 36, is therefore the angle between the side bc and (each of) the two extended sides ab, CD outside of the decagon. The remaining angle, k, of the triangle thus formed is 180-2(36)=180-72=108. A sneaky way to get the same answer is to notice that if we extend every other side of the regular decagon, we get a (larger) regular pentagon. The angle k is one of these angles, so it is 108.
What is the measure of one angle of a regular 11-gon?
36
What is the measure of each interior angle of a regular 36-gon?
170 degrees
What is the measure of each exterior angle of a regular 36-gon?
360/36 = 10 degrees
What is the measure of a regular 10-gon?
Each exterior angle measures 36 degrees Each interior angle measures 144 degrees
What is the measure of an exterior of a regular 36-gon?
360/36 = 10 degrees
What is the measure of each exterior angle of a regular 10-gon?
The exterior angles of any polygon add up to 360 degrees. So: 360/10 = 36 degrees
What is measure of each interior angel of a 36 side regular polygon?
Each interior angle of a 36-gon measures 170 degrees. In general, if you have a regular n-gon, it's interior angles will measure (n-2)*180/n degrees. This is due to the fact that if we choose a single vertex from the regular n-gon and draw all possible diagonals to all of the other vertices there will be n-2 triangles inside the regular n-gon. Each of these triangles has a total of 180 degrees. Thus, there are (n-2)*180 degrees divided among the n vertices.
What is the measure of the central angle of a regular polygon with 18 sides?
36
What is the angle measure of each exterior angle of a decagon?
Providing that it's a regular decagon then each exterior angle will measure 36 degrees
What is the measure of each exterior angle of a decagon?
Providing that it's a regular decagon then each exterior angle will measure 36 degrees
Calculate the measure of a central angle of a regular ten-sided polygon?
36
How many sides does a regular polygon with an exterior angle measure of 36 degrees have?
b
