Question

During the halftime performance for a football game, the color guard is planning a new formation in which seven members stand around a central point and stretch their flag to the person immediately to their left. 10. what is the measure of each exterior angle of the formation?

Answer 1

There are different kinds of angles. The measure of each exterior angle of the formation is 51.4.

What is a exterior angle in math?

The term exterior angle is known to be the angle that is found between a side of a polygon and that of an extended adjacent side.

The shape of the halftime is regular heptagon.

Note that a  regular heptagon has 7 congruent sides and 7 congruent interior angles.

So the exterior angles are said to be congruent, based on the fact that angles supplementary to congruent angles are  regarded as congruent.

So Let take n as the measure of each exterior angle.

7n = 360

n= 360/n

To Solve for n =51.4

Therefore, The measure of each exterior angle of the formation is 51.4.

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