0
The measure of any interior angle of a convex regular n-gon is (n − 2)π/n radians or (n − 2)180/n degrees.
for a decagon (10-2)*180/10=144 degrees=2.51327412287183 radians
Interior Angle=180 - (360/n)
180 - (360/10) = 180 - 36 = 144o
n= 360/(180 - Interior angle)
360/(180 - 144o) = 360/36 = 10 sides
Still curious? Ask our experts.
Chat with our AI personalities
Judy
Ezra
FranAdd your answer:
Earn +20 pts
What is the measure of one interior angle of a regular decagon?
Each interior angle measures 144 degrees
How much is each angle measure in a regular decagon?
Decagon is a geometry term that refers to a polygon that has 10 sides and 10 angles. The angles of a decagon measure 144 degrees.
How much is each angle measure in a regular decagon 10 sides?
The external angles of a polygon total 360° . Therefore each external angle of a regular decagon measures 360/10 = 36° Therefore each INTERNAL angle measures 180 - 36 = 144°
What best describes a regular polygon when the measure of each exterior angle is 36 degrees?
It is best described as a regular 10 sided polygon or as a regular decagon.
What is the sum of a exterior angle measures of a regular decagon?
The exterior angles of any polygon add up to 360 degrees including a 10 sided regular decagon of which each exterior angle will measure 360/10 = 36 degrees.
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
How many degrees would each angle in a regular decagon?
Each interior angle of a regular decagon would measure 144 degrees,
Each interior angle of a regular decagon measures?
well the total degrees in a decagon is 1440 therefore each interior angle in a regular decagon would measure 144 degrese
What is the measure of each interior angle of a decagon?
144˚
What is the meaasure of each angle f a decagon?
Providing that it is a regular 10 sided decagon then each interior angle will measure 144 degrees
What is the angle measure of each interior angle of a regular decagon?
The angle measure for each interior is 144 degrees each.Explanation: The angle measure of each interior angle of a regular decagon is 144°. Since a decagon is a 10-sided figure, replace n by 10 in (n − 2) • 180°. So the sum of the interior angle measures in a decagon is (10 − 2) • 180°, or 8 • 180° = 1440°. This is a regular decagon, so all ten interior angles are congruent. To calculate the measure of each interior angle in this regular decagon, divide 1440 by 10. The answer is 144°. 144 degrees is equal to 4/5 of 180 degrees
What is the measure of a exterior angle of a decagon?
If it's a regular decagon then each of the 10 exterior angles will measure 36 degrees
Each interior angle of a regular decagon?
Sum of the interior angles of a decagon = 180*(10-2) = 180*8 = 1440 degrees. Since each interior angle of a regular polygon has the same measure, each angle of the decagon = 1440/10 = 144 degrees.
What is the measure of one interior angle of a regular decagon?
Each interior angle measures 144 degrees
How much is each angle measure in a regular decagon?
Decagon is a geometry term that refers to a polygon that has 10 sides and 10 angles. The angles of a decagon measure 144 degrees.
What is the of an interior angle of a decagon?
Each interior angle of a regular decagon is 144 degrees
