Equilateral polygon: All sides are ≅. Equiangular polygon: All

Equilateral polygon: All sides are ≅. Equiangular polygon: All

Diagonal: is a segment that connects two nonconsecutive vertices
Polygons Lesson #2
P.O.D # 19
12/02/14 or 12/03/04
1. In triangle ABC, m<A = x and m<B = y. Which of these can be proved using the triangle sum theorem?
1. m<C = y
2. m<C = 180 -(x+y)
3. m<C = (x+y) - 180
4. m<C = x+y
Equilateral polygon:
All sides are ≅.
Equiangular polygon:
All interior angles are ≅.
Regular polygon:
All sides and all angles are ≅.
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Polygon Angle Sum Theorem
What is the sum of the angle measures of a 17-gon, a 22-gon, a 37-gon?
The sum of the angles of a polygon is 1980. How can we find the # of sides in the polygon?
The sum of the angles of a regular polygon is 2880. Find the sides of the regular polygon.
The sum of the angles of a regular polygon is 1620. Find the sides of the regular polygon.
The sum of the angles of a regular polygon is 10440. Find the sides of the regular polygon.
The measure of each angle of a regular n-gon is
What is the measure of each angle in a regular nonagon?
each angle of a regular 20-gon?
each angle of a regular 70-gon?
Each angle of a regular polygon measures 160. Find the sides of the regular polygon.
Each angle of a regular polygon measures 108. Find the sides of the regular polygon.
Find the sides of the regular polygon.
each < is 60
each < is 90
each < is 135
2
What is m<Y in pentagon TODAY?
Find y.
Find h.
3
Regular Polygon Exterior Angle-Sum Theorem.
EACH Exterior Angle of a Regular Polygon
Find the measure of an exterior angle of each regular polygon.
36-gon
25-gon
15-gon
Find the # of sides of a regular polygon with:
measurement of an exterior angle is 36
Find the # of sides of a regular polygon with:
measurement of an exterior angle is 18
Find the # of sides of a regular polygon with:
measurement of an exterior angle is 72
Find the value of each variable.
a
c
b
a
d
b
c e
4
Use the theorem to solve for x.
5