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7.3 Formulas Involving Polygons Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to solve problems involving polygons.

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nn-gon 3Triangle 4Quadrilateral 5Pentagon 6Hexagon 7Heptagon 8Octagon 9Nonagon 10Decagon 12Dodecagon 15Pentadecagon Number of Sides (or Vertices) Number of Sides (or Vertices) Polygon Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to solve problems involving polygons.

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Summary Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to solve problems involving polygons.

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What is the sum of the interior angles of an undecagon? A quadrilateral? Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to solve problems involving polygons.

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Three of the angles of a pentagon are right angles. The two remaining angles are congruent. Find the measure of one of the two remaining angles. Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to solve problems involving polygons.

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What is the name of the polygon whose interior angles total 2340? That total 1080? Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to solve problems involving polygons.

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How many diagonals can be drawn in a decagon? A heptagon? Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to solve problems involving polygons.

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What is the name of the polygon that has 104 diagonals? 54 diagonals? Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to solve problems involving polygons.

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What is the sum of the exterior angles of a pentadecagon? A 25-gon? Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to solve problems involving polygons.

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Complete the table. See if you can observe a pattern. Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to solve problems involving polygons.

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Assignment: Pg. 304 # 2, 4 Pg. 309 # 1 (a,c,e), 2, 3, 5, 7, 10 (a,b,c) Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to solve problems involving polygons.

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