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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.
What is the measure of the exterior angle of a 13 sided polygon if the interior angles vertex is 55 degrees?
If an interior angle is 55 deg, the corresponding exterior angle is 125 deg. This has nothing to do with the number of sides of the polygon (unless it is a regular polygon).
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".
Why Exterior angle always equal to 360 degrees?
The exterior angle of a polygon is formed by extending one side of the polygon at a vertex. The sum of the angles around a point is always 360 degrees, which includes the exterior angle and the adjacent interior angle. Since the interior angle and the exterior angle at a vertex are supplementary (they add up to 180 degrees), the exterior angle itself can be thought of in the context of multiple vertices around a point, leading to the total sum of all exterior angles of a polygon being equal to 360 degrees, regardless of the number of sides.
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
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
Very rarely.
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.
What is the measure of an exterior angle adjacent to the vertex angle?
It is: 180-vertex angle = exterior angle
What is the measure of the exterior angle of a 13 sided polygon if the interior angles vertex is 55 degrees?
If an interior angle is 55 deg, the corresponding exterior angle is 125 deg. This has nothing to do with the number of sides of the polygon (unless it is a regular polygon).
A convex polygon has 10 sides and one angle at each vertex what is the sum of the measure of its exterior angle?
The exterior angles of a polygon always total 360 degrees. That doesn't even depend on how many sides the polygon has.
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 does the Polygon Exterior Angle Sum Theorem say?
Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.
What is the largest exterior angle that any regular polygon can have?
The largest exterior angle measure is 120o. It is the exterior measure of an equilateral triangle (which is a regular polygon).
A convex polygon has 7 sides and one angle at each vertex Whats is the sum of exterior angles?
The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
What is the exterior angle of a 30 sided polygon?
Providing that it's a regular polygon then each exterior angle will measure 12 degrees.
What is the formula on how to get the measure of the exterior angle of the regular polygon?
360/number of sides = exterior angle
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.
