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An interior angle of a polygon and its adjacent exterior angle are complementary?
Wiki User
∙ 14y ago
No, they are supplementary, not complementary.
Wiki User
∙ 14y ago
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The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
Very rarely.
Each interior angle if a regular polygon measurses 172 degrees how many sides does the polygon have?
The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.
What is the sum of all the interior angles in a polygon?
180x(N-2)(interior angle) All polygon of the sums of exterior angles is 360. (if convex)
What is interior angles?
The angles between adjacent sides of a polygon that are interior to the polygon. If the polygon is convex, the interior angles are always less than 180 degrees. If it is concave, at least one interior angle will be greater than 180 degrees.
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 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.
What are the two interior angles called that are not adjacent to an exterior angle?
In a polygon there are no such angles.
An interior angle of any polygon and its adjacent exterior angle are always?
equal to 180°
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
Very rarely.
What are interior and extrior angles?
Interior angles are angles formed by two adjacent sides on the inside of a polygon. An exterior angle is the supplement of the interior angle.
What is the Definition an interior angle of a polygon?
A polygon is a closed plane figure bounded by straight sides. Since it is a closed surface, it has an interior (inside) and an exterior (outside). The interior angle of a polygon is the angle formed by two adjacent sides such that the angle is facing the interior of the polygon.
What is an exterior angle of a polygon?
Extending a line past a side of the polygon, and measuring the angle between the adjacent side and the line. This angle will equal 180°-(interior angle). Below, I've tried to illustrate it, where x is the exterior angle, and i is the interior angle: x\ i __\_______/
What is the sum of interior and exterior angle of a polygon?
The sum of each pair of interior and exterior angles of a polygon is always 180 degrees.
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".
What is the answer of the polygon interior angle is five times the size of exterior?
Interior + Exterior = 180 and Interior = 5*Exterior So interior = 150 degrees and exterior = 30 degrees. Nothing more may be said unless it is known that the polygon is regular.
