Day 1 - Interior and Exterior Angle Theorems
Day 1 - Interior and Exterior Angle Theorems
Day 1 - Interior and Exterior Angle Theorems
Warm-up
Use the given shapes on your paper:
Quadrilateral (4-sides) Heptagon (7-sides)
Pentagon (5-sides) Octagon (8-sides)
Hexagon (6-sides)
Draw as many diagonals as you can from
(Diagonals connect any two vertices)
one vertex.
4 sides, 2 triangles
5 sides, 3 triangles
6 sides, 4 triangles
7 sides, 5 triangles
8 sides, 6 triangles
Key definitions:
An equilateral polygon is a polygon with all
congruent sides.
An equiangular polygon is a polygon with all
congruent angles.
A regular polygon is a polygon that is both
equilateral and equiangular.
3rd Find the sum of the given angles and subtract from total.
90 + 110 + 120 + 150 + x = 540
470 + x = 540
x = 70
The missing angle is 70 degrees.
Exterior Angles
115
65
65
115
50 130
105
115
65
75
115 + 75 + 99 + 71 = 360
81
99
71
360
109
Practice
On the back of the pink is some practice
problems. Complete those now!