5.2 Exterior Angles of a Polygon

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Presentation transcript:

5.2 Exterior Angles of a Polygon Objective: Discover the sum of the measures of the exterior angles of a polygon. Practice construction skills. Develop reasoning, problem-solving skills, and cooperative behavior.

Step 1: Using the same shape from 5 Step 1: Using the same shape from 5.1, re-draw your polygon, extending the sides to form a set of exterior angles Step 2: measure all the interior angles of the polygon, except one, Calculate the remaining interior angle using the Polygon Sum Conjecture. Check the answer with your protractor Conjecture Protractor

Step 3: Use the linear pair conjecture to calculate the measure of each exterior angle. Step 4: Calculate the sum of the measures of the exterior angles. Share your results. Exterior Angle Sum Conjecture For any polygon, the sum of the measures of a set of exterior angles is _______________ 360 Equiangular Polygon Conjecture You can find the measure of each interior angle of an equiangular n-gon by using either of these formulas: _____________________ or ______________________ 180-360/n (180(n-2))/n