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# 2.7 Exploring Angles In Polygons

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### 2.7 Exploring Angles In Polygons

1. 1. Angles in Polygons<br />11/13/09<br />
2. 2. review<br />Warm up quiz<br />Model Drawing<br />Check homework if assigned<br />
3. 3. review<br />What are complementary angles?<br />2 angles = 90o<br />
4. 4. review<br />What are supplemental angles?<br />2 angles = 180o<br />
5. 5. review<br />Degrees in interior angle measures of a triangle?<br />180o<br />
6. 6. review<br />Degrees in interior angle measures of a quadrilateral?<br />360o<br />
7. 7. EQ:<br />How can I find the sum of the interior angle measures in any polygon?<br />
8. 8. How can we prove how many interior angle measures are in a quadrilateral?<br />Used diagonals.<br />
9. 9. Draw a quadrilateral.<br />Draw diagonals.<br />How many triangles are there?<br />
10. 10. How can we prove how many interior angle measures are in a pentagon?<br />Used diagonals.<br />
11. 11. Draw a pentagon.<br />Draw diagonals.<br />How many triangles are there?<br />
12. 12. How many degrees are in each triangle?<br />How many total interior degrees are there in pentagon?<br />
13. 13. Interior measure chart<br />Make a chart:<br />3 columns-10 rows<br />
14. 14. 1: figure<br />2: Sum of &lt;s<br />3: Increase from last figure.<br />
15. 15. Under figure draw:<br />Triangle<br />Quadrilateral<br />Pentagon<br />Hexagon <br />
16. 16. Heptagon (seven)<br />Octagon<br />Nonogon (nine)<br />Decagon (last one)<br />Complete the chart<br />
17. 17. What patterns do you see?<br />How much do the &lt; measures of each go up each time?<br />
18. 18. EQ:<br />How can I find the sum of the interior angles in any polygon?<br />