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What is the measure of an exterior angle adjacent to the vertex angle?
It is: 180-vertex angle = exterior angle
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 interior angle of a 12- sided shape?
The total interior angle of a 12 sided polygon is = (12 - 2) 180 degrees = 1800 degrees. The internal angle at each vertex of an regular dodecagon is equal to = = 150 degrees. While the exterior angle at a single vertex is = = 30 degrees. The total exterior angle of a 12 sided polygon is 360 degrees.
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.
What is an exterior angle of a triangle and how does the measure of an exterior angle relate to the interior angles?
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
What is the measure of an exterior angle adjacent to the vertex angle?
It is: 180-vertex angle = exterior angle
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.
Is the vertex of the angle in the interior of the angle?
No. It forms the angle and so is neither in the interior nor the exterior.
The exterior angle of a base angle in an isosceles triangle is 100 degrees What is the measure of the vertex angle?
20 degrees
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.
How do you find a missing exterior angle of a triangle?
At each vertex of a triangle, an exterior angle of the triangle may be formed by extending ONE SIDE of the triangle.
What is the measure of each exterior angle one angle at each vertex of a regular hexagon?
60 degrees.
An exterior angle at the base of an isosceles triangle measures 110 find the measure of the vertex angle?
40
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
Very rarely.
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.
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.
An exterior angle at the base of an isosceles triangle measures 130 find the measure of the vertex angle?
80 degrees.
