Question

What is the measure of an exterior angle of a regular 7-sided polygon?

round to the nearest tenth of a degree

Answer 1

Step-by-step explanation:

# The sum of the exterior angles of any polygon is 360 degrees.

# We can deduce that if the heptagon(7-sided polygon) is regular, then all the exterior angles are congruent.

# As a result measure of each exterior angle is 360/7 i.e., 51.428571

Hence measure of an exterior angle of regular heptagon is nearly 51.4°

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Answer 2

ANSWER:
51.4 degrees

Step-by-step explanation:
The exterior angles of any polygon always add up to 360.

Therefore, to find one of the angles of any regular (meaning each angle and side is the same) polygon, you use the formula 360/n=e

N represents the number of sides the polygon has. E represents the measure of the exterior angle.

360/n=e
360/7=e
51.4=e

Therefore, the measure of the exterior angle in a 7-sided regular polygon is 51.4 degrees.