The document discusses conjectures about the sum of angles in different polygons. It states that the sum of angles in a triangle is 180 degrees, the sum in a quadrilateral is 360 degrees, and the sum in any n-gon polygon is (n-2)180 degrees. It also describes equilateral, equiangular, and regular polygons and includes a conjecture that the measure of one angle in an equiangular polygon can be found using a specific expression.

1. Tests?

2. 6.1 Polygon sum conjecture Need: -Notes -Conjecture List

3. © TRIANGLE SUM CONJECTURE The sum of all the angles in a triangle is 180 degrees. How about in a quadrilateral? © QUADRILATERAL SUM CONJECTURE The sum of all the angles in a quadrilateral is 360 degrees.

4. How do we figure out the sum of the angles in any polygon?

5. © POLYGON SUM CONJECTURE The sum of all the angles in an n -gon (any polygon) is (n–2)180.

6. REVIEW Equilateral Polygon A polygon with all sides congruent Equiangular Polygon A polygon with all angles congruent Regular Polygon A polygon with all angles and sides congruent

7. How do we figure out how many degrees one angle is in an equiangular polygon?

8. © EQUIANGULAR POLYGON CONJECTURE The measure of one angle in any equiangular polygon can be found with the expression:

9. CLASSWORK WORKSHEET

15. Homework HW #44 Pg 281 #1-14, 18, 19