Vocabulary
What is a flat 2D figure that is closed and has no curved edges?
A polygon
What is the sum of the exterior angles in any polygon?
360 degrees
What is the sum of interior angles for any hexagon.
720 degrees
What is the sum of exterior angles for any decagon?
360 degrees
In a quadrilateral, the angles measure 86, 182, 37, and ___ degrees.
55 degrees
What do we call any polygon that is characterized by both equiangular and equilateral. Ex: a square
A regular polygon
What is the interior angle sum formula?
180(n-2), where n is the number of sides/angles
What is the measure of one interior angle of an octagon?
135 degrees
What is the measure of one exterior angle in any heptagon?
51.43 degrees
The sum of interior angles of a regular polygon is 1440 degrees. Solve for x if one interior angle measures 4x-16.
x= 40
What do we call a polygon whose angles all measure less than 180 degrees?
A convex polygon
In any polygon, each interior and exterior angle is called ____?
A linear pair (or supplementary angles)
Which polygon has an interior angle sum of 1260 degrees?
A nonagon (9 sides)
Each exterior angle of this polygon is 72 degrees.
A pentagon
The interior angle or a regular polygon measures 7x+10, and its corresponding exterior angle measures 6x-25. Solve for x.
x = 15
What do we call a polygon that has at least one angle measuring greater than 180 degrees?
A concave polygon
In a regular polygon, we can divide the sum by n, the number of sides, to find this.
The measure of each interior or exterior angle
What is the number of sides in a polygon with an interior angle sum of 1800 degrees?
12 sides
The measure of each exterior angle is 12 degrees in this regular polygon.
A 30-gon
The exterior angles of a regular polygon measure 72, 5x-4, 97, 2x+13, and 6x. Solve for x.
x = 14
Name the polygons with sides 3 through 10 in order.
Triangle, Quadrilateral, Pentagon, Hexagon, Heptagon, Octagon, Nonagon, Decagon
In the polygon sum formula, 180(n-2), the (n-2) is derived from this.
The number of triangles formed
In which regular polygon is the measure of each interior angle 156 degrees?
A 15-gon
The sum of interior angles of a regular polygon is 2160 degrees. What is the measure of each exterior angle?
25.7 degrees
In a hexagon, angle measures are 120, 5x-6, 4x+14, 8x, 8x-8, and 5x. Solve for x.
x = 20