For each of the 4 polygons, draw all the diagonals from the red vertex.
Complete the below table.
# of Sides of Polygon | # of 's insidethe polygon | Sum of int. 'sof a | Sum of int. 'sof polygon | |
|---|---|---|---|---|
A | ||||
B | ||||
C | ||||
D |
Using the data from the table from the previous question:
a) Explain the relationship between the number of sides that a polygon has and the number of triangles contained within the polygon.
b) Write/explain a rule/formula that you could use to find the SUM of the interior of polygons when given the number of sides (n) that the polygon has.
c) Write and solve an example problem using your rule that your formed in Part b.
(Write/draw" your response. Do NOT type your answer)
What is the sum of the interior angle measures of a decagon?
What is the sum of the interior angle measures of a 13-gon?
What is the measure of each interior angle of a regular octagon?
What is the measure of each interior angle of a regular 20-gon?
How many sides does a polygon have if the sum of its interior angle measures is 1800
?How many sides does a polygon have if the sum of its interior angle measures is
?How many sides does a regular polygon have if each interior angle of the polygon measures
?How many sides does a regular polygon have if each interior angle of the polygon measures
?Given quadrilateral ABCD, find:
m
Given Pentagon HJKLM, find:
m
m
m
m
Using the Exterior Angle applet from the previous slide:
A) Describe what happens to the overall shape of a polygon as you keep on adding sides.
How many degrees are in this shape that you described in part A.
C) For all polygons regardless of how many sides, what is the sum of its exterior angles?
What is the sum of the exterior angles of a decagon?
What is the measure of each exterior angle of a regular 360-gon?
What is the measure of each exterior angle of a regular octagon?
What is the measure of each exterior angle of a regular 20-gon?
How many sides does a regular polygon have if each exterior angle of the polygon measures 120
?How many sides does a regular polygon have if each exterior angle of the polygon measures
?In a regular pentagon, what is the difference between each interior angle measure and each exterior angle measure?
In a regular dodecagon, what is the difference between each interior angle measure and each exterior angle measure?
In the attached figure, find the value of x.
In the attached figure, find the value of x.
