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Why do All polygons have exterior angles that sum to 360 degrees?
Only convex man, if the angle is concave it would not be 360 degree.
How can you find the number of sides of a polygon when you know the interior angle?
360 divided (180-n) This uses the exterior angle theorem and linear pair theorem. This works on regular polygons. All the angles congruent.
What is the measure of a polygons interior angle?
It is: 180-exterior angle = interior angle
Which polygons are concave?
A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
What to regular polygons has a larger exterior angle?
An equilateral triangle is the only polygon in which the exterior angle is larger than the interior angle. They are equal in a square and smaller in all regular polygons with more sides,
Why do All polygons have exterior angles that sum to 360 degrees?
Only convex man, if the angle is concave it would not be 360 degree.
Which theorem states that the measure of an exterior angle in a triangle is the sum of its remote interior angle measures?
exterior angle theorem
How can you find the number of sides of a polygon when you know the interior angle?
360 divided (180-n) This uses the exterior angle theorem and linear pair theorem. This works on regular polygons. All the angles congruent.
What is the measure of a polygons interior angle?
It is: 180-exterior angle = interior angle
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.
Which polygons are concave?
A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
Does the Converse of the Angle Bisector Theorem apply if the point is in the exterior of the angle?
No, it does not.
What to regular polygons has a larger exterior angle?
An equilateral triangle is the only polygon in which the exterior angle is larger than the interior angle. They are equal in a square and smaller in all regular polygons with more sides,
Does the consecutive exterior angle theorem exist?
no it dose not
What is the relationship between the interior and exterior angles in polygons?
An interior angle and the corresponding exterior angle add up to a straight angle. that is, they are supplementary.
What is the exterior-angle theorem?
The exterior-angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. This theorem helps in understanding the relationships between the angles of a triangle and is useful for solving various geometric problems. It emphasizes that the exterior angle is always greater than either of the interior angles it is not adjacent to.
How are convex polygons different from concave polygons?
A concave polygon has at least one interior angle greater than 180 degrees. A convex polygon has none of those.
