Exterior Angles with Regular Polygons

Exterior Angles - How it Works - Video

Example - Quadrilateral

Example 1:

Every polygon has the same measure of degrees for the exterior. It is 360°.

If we join all the exterior angles together, they will form a circle, which has a total of 360°.

Using the formula 360°/n , where n is the number of sides, we substitute 4 into the formula 360°/4 = 90°.

So each exterior angle is 90°.

Example - Pentagon

Example 2:

Every polygon has the same measure of degrees for the exterior. It is 360°.

If we join all the exterior angles together, they will form a circle, which has a total of 360°.

Using the formula 360°/n , where n is the number of sides, we substitute 5 into the formula 360°/5 = 72°.

So each exterior angle is 72°.

Example - Hexagon

Example 3:

Every polygon has the same measure of degrees for the exterior. It is 360°.

If we join all the exterior angles together, they will form a circle, which has a total of 360°.

Using the formula 360°/n , where n is the number of sides, we substitute 6 into the formula 360°/6 = 60°.

So each exterior angle is 60°.

Example - Heptagon

Example 4:

Every polygon has the same measure of degrees for the exterior. It is 360°.

If we join all the exterior angles together, they will form a circle, which has a total of 360°.

Using the formula 360°/n , where n is the number of side, we substitute 5 into the formula 360°/57= 51 and 3/7°.

So each exterior angle is 51 and 3/7°.

Example - Octagon

Example 5:

Every polygon has the same measure of degrees for the exterior. It is 360°.

If we join all the exterior angles together, they will form a circle, which has a total of 360°.

Using the formula 360°/n , where n is the number of sides, we substitute 8 into the formula 360°/8 = 45°.

So each exterior angle is 45°.

Live Worksheet

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