Interior Angles
Exterior Angles
Algebra Applications
Area of Regular Polygons
100
What is the sum of the interior angles for a triangle?
180°
100
What is the sum of exterior angles for the following polygon?
360°
100
Solve for x in the following diagram.
x = 78°
100
The area of the triangle is 10 m2, what is the area of the regular polygon?
140 m2
200
What is the sum of the interior angles for a 30-gon? (Also known as a triacontagon)
5040°
200
What is the formula for the measure of one exterior angle for a regular n-gon?
360/n
200
Solve for x in the following diagram.
x = 17
200
Find the area of the following polygon:
1300 cm2
300
What is the measure of 1 interior angle of a 16-gon? (Also called a hexadecagon)
157.5°
300
What is the measure of an exterior angle for a regular dodecagon?
30°
300
Solve for y given the information in the following diagram.
y = 47.5°
300
Find the area of the octagon below:
162.37 m2
400
Each interior angle of a regular polygon measures 144°. How many sides does this polygon have?
10 Sides
400
An exterior angle in a regular polygon has a measure of 45°. What is the name of the polygon?
Octagon, or 8-gon
400
In the diagram below, solve for the measure of angle K.
145°
400
Find the area of the pentagon below:
237.76 ft2