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Sum of Interior Angles and Exterior Angles. Sum of Interior Angles of a Polygon 180(n-2) Where n is the number of sides Interior angles are the angles.

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Presentation on theme: "Sum of Interior Angles and Exterior Angles. Sum of Interior Angles of a Polygon 180(n-2) Where n is the number of sides Interior angles are the angles."— Presentation transcript:

1 Sum of Interior Angles and Exterior Angles

2 Sum of Interior Angles of a Polygon 180(n-2) Where n is the number of sides Interior angles are the angles inside the Triangle If the polygon is regular you can find each interior angle 180(n-2)/n

3 Exterior Angles of a Polygon The sum of the exterior angles of a polygon is always 360 Exterior angles are the angles outside a polygon, paired with one interior angle making linear pairs If the polygon is regular then you can find each interior angle 360/n

4 Know which equation to use when The sum of the interior angles of a polygon is 720, how many sides does it have. 720 is a sum 180(n-2)=720 Solve equation for n

5 More Each exterior angle of a regular polygon is 30, how many sides does it have. 30 is an exterior angle 360/n=30

6 More If the sum of the interior angles of a regular polygon is 4000, what is the measure of each exterior angle. 2 steps Given sum and find exterior 180(n-2)=4000 Solve for n 360/n=each exterior

7 Homework Wkst on these two topics cross out last problem on each page


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