Download One Interior Angle Notes Answers

Regular Polygon
Non-regular Polygon
1. Compare the two polygons shown above. Describe the difference between a regular
polygon and a non-regular polygon?
2. What is the sum of the interior angles of any hexagon?
3. What is the measure of one interior angle of a regular hexagon?
4. If you know the sum of the interior angles of a regular polygon, how can you find the
measure of one of the interior angles?
5. Use the information from Part 1 to complete the table below:
Regular
Polygon
Interior
angle sum
Triangle
180o
Quadrilateral
360o
Pentagon
Hexagon
Heptagon
Octagon
Decagon
Dodecagon
n-gon
Measure
of one
interior
angle
Conclusions:
Write a formula to find each of the following:
1. The sum of the interior angles of any polygon.
2. The measure of one interior angle of a regular polygon.
In Class Problems:
1. What is another name for a regular triangle?
2. What is another name for a regular quadrilateral?
3. Three angles of a quadrilateral measure 98 o, 75 o, 108 o. Find the measure of
the fourth angle.
7. Each interior angle of a regular polygon measures 168 o. How many sides
does the polygon have?
8. What is the sum of the interior angles of the polygon above?
9. Is the sum of the interior angles of a convex polygon the same as a nonconvex
polygon? Explain or show an example to justify your answer.
Nonconvex polygon
Convex polygon