Interior Angles in Polygons - University of Kentucky
Interior Angles in Polygons
Fill in the Blanks:
1. The sum of the interior angles in a triangle is ______________ degrees.
2. The sum of the interior angles in a quadrilateral is _____________ degrees.
a. This means a quadrilateral has ________ triangles in it.
3. The sum of the interior angles in a pentagon is _______________ degrees.
a. This means a pentagon has ___________ triangles in it.
4. Fill in the chart below:
|Number of Sides: |Number of Triangles: |Sum of Interior Angles: |
|3 | | |
|4 | | |
|5 | | |
5. Find the pattern used to compute the sum of the interior angles in a polygon from the chart above. What is the formula used to find the sum of the interior angles in any polygon?
6. Fill in the chart below:
|Number of Sides: |Number of Triangles: |Sum of Interior Angles: |
|6 | | |
|8 | | |
|9 | | |
|10 | | |
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