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The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
Wiki User
∙ 13y ago
Very rarely.
Wiki User
∙ 13y ago
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An interior angle of a polygon and its adjacent exterior angle are complementary?
No, they are supplementary, not complementary.
The measure of an interior angle of a regular polygon is 150 degrees Find the number of sides?
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
What is the measure of an interior angle for a regular ten-sided polygon?
144o. Sum of exterior angles of a polygon is 360o. Each exterior angle for a regular decagon is 360o / 10 = 36o. Exterior and interior angles are supplementary, that is sum to 180o. Therefore the interior angle of a regular decagon is 180o - 36o = 144o.
How many sides does an equiangular polygon have if the measure of an angle of the polygon exceeds four times the measure of one of it's exterior angles by 30?
Interior angle + Exterior angle = 180 So Interior angle = 180 - Exterior angle Interior angle = 4*Exterior angle + 30 Substitute for Interior angle: 180 - Exterior angle = 4*Exterior angle + 30 Collect like terms: 150 = 5*Exterior angle Divide by 5: Exterior angle = 30 deg Therefore number of sides = 360/30 = 12
Give the formulas for finding the number of sides of a regular polygon when given the measure of an interior angle?
180-interior angle = exterior angle 360/exterior angle = number of sides
What type of an interior angle of a polygon and its adjacent exterior angle are complementary?
The interior angle of a polygon and its adjacent exterior angle can never be complementary.
An interior angle of a polygon that is not adjacent to the exterior angle?
Ah...
What is formed by one side of a polygon and a line from the adjacent side?
An interior or exterior angle of the polygon.
An interior angle of a polygon and its adjacent exterior angle are complementary?
No, they are supplementary, not complementary.
What are the two interior angles called that are not adjacent to an exterior angle?
In a polygon there are no such angles.
Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right angles.
Does the measure of an exterior angle at the vertex of a polygon equal the measure of the adjacent interior angle?
The sum of an adjacent interior and its exterior angle will total to 360°. If the angles were to be equal, they would both have to be 180°. An angle of 180° is a straight line. A polygon may be composed of straight lines that intersect at vertices but a straight line has no vertex. That being the case, the answer to your question is "No".
An interior angle of any polygon and its adjacent exterior angle are always?
equal to 180°
How do you measure the interior angle of a polygon?
With a protractor or if you know the exterior angle then it's 180 - exterior angle = interior angle
How do you find interior and exterior angles of an irregular polygon?
Measure them with a protractor
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 are exterior angles?
Exterior angles are the angles formed when a side of a polygon is extended, and they are adjacent to the interior angle at that vertex. In a polygon with n sides, there are n exterior angles, one at each vertex. The sum of the exterior angles of any polygon is always 360 degrees.
