Question

what is the measure of extirior angle whose sides are 8​

Answer 1

Answer:

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Step-by-step explanation:

♦ As we all know that sum of Exterior angles of polygon is 360°

♦Since it has 8 sides , so it is an octagon.

♦ As, it is a regular octagon, so each of the interior angles of octagon are equal.

Now,

♦ This means that each interior angle of the regular octagon is equal to  degrees.

♦ Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon.

•°• Each exterior angle = (180 - 135) = 45°.

Therefore, each exterior angle of a regular polygon with 8 sides is  .

Answer 2

Answer:

=> (n-2) × 180

n

(8— 2) х 180 8

=> 6 x 180 8

1080 8

=> 135 degree

This means that each interior angle is 135 degree Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon.

.•. Each exterior angle = (180 - 135) = = 45°. =

Therefore, each exterior angle of a regular polygon with 8 sides is 45 degree

Step-by-step explanation:

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