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### Angle Sum Theorem

• 2.  How many sides do a pentagon, hexagon, and heptagon have?  What conjecture can you make about the sum of the interior angles of each figure?
• 3. Angle Sum Theorem  The sum of the measures of the interior angles of an n-gon is (n – 2)180  What is the measure of <G?  What is the measure of <Y?
• 4.
• 5. Polygon Exterior Angle Theorem  The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360  <1 + <2 + <3 + <4 + <5 = 360
• 6.
• 7.  What is the measure of an exterior angle of a regular 18-gon?  What is the sum of measures of a polygon with 180 sides?
• 8. Homework  Pg. 161  #11 – 25, 40 – 44, 47 – 49  23 problems
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