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Abcdefghij is a regular decagon if sides CD and ab are extended to form angle k what is the measure of angle k?
Wiki User
∙ 12y ago
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.
Wiki User
∙ 12y ago
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What is the measure of an interior angle of a regular decagon?
144
How many degrees would each angle in a regular decagon?
Each interior angle of a regular decagon would 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
How many sides does a regular polygon have if the measure of an angle is 144?
A regular decagon, or 10-sided polygon, has interior angles of 144
How many right angles in a decagon?
There are no right angles in a regular decagon. On a regular decagon, the angles are 144 degrees, where as right angles are ninty.
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
What is the measure of an interior angle of a regular decagon?
144
What is the measure of one angle of a regular decagon?
144
What is the measure of each interior of a decagon?
Providing that it is a regular 10 sided decagon then it is 144 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 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 many degrees would each angle in a regular decagon?
Each interior angle of a regular decagon would measure 144 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
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 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
ABCDEFGHJK is a regular decagon sides AB and DE are extended so that they meet at point L in the exterior of the polygon find the measure of angle of angle BLD?
angle BLD is 72 degrees.
What is the measure of each interior angle of a decagon?
144˚
