Polygons and Angles
Sum of interior angles in a quadrilateral
360
2, 4, 6, ____, _____
8, 10
Polygons with four equal sides and vertices
Square
Triangles that have all sides equal
equilateral
What's the missing angle measure?
65 degrees
Sum of interior angles in a pentagon
540
2, 4, 8, _____, ______
16, 32
Polygons with three sides and three vertices
triangle
Triangles that have NO equal sides
scalene triangle
Find x
35 degrees
Sum of interior angles in 7-sided polygon
900
5, 6, 8, 11, _____, ______
15, 20
Polygons with five sides and five vertices
pentagon
Triangles that have two equal sides
isosceles
Find x
113
The triangle exterior angle theorem tells us this
One interior angle in a decagon
144
100, 90, 81, 73, ____, _____
66, 60
Polygons with six sides and six vertices
hexagon
Triangles that have one angle greater than 90 degrees
obtuse
Find x and y
x = 60
y = 50
One interior angle in a 26-sided polygon.
166.15
1, -3, 9, -27, ______, _______
81, -243
Polygons with eight sides and eight vertices
octogon
Triangles that have three angles equal to 60 degrees. Classify it with TWO words.
equiangular equilateral
Find the number of sides of a polygon if each interior angle is 162 degrees.
n = 20