The measure of
an exterior angle
of a regular
octagon is x + 10.
Find x.

Question

contestada

Respuesta :

jimrgrant1 jimrgrant1 · Answer 1 · 2021-03-22T16:16:33+01:00

Answer:

x = 35

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Then

1 exterior angle = 360° ÷ 8 = 45° , so

x + 10 = 45 ( subtract 10 from both sides )

x = 35

Answer Link

AFOKE88 AFOKE88 · Answer 2 · 2022-05-31T10:06:13+02:00

The value of x for the octagon considering the value of the exterior angle is; x = 35°

The sum of the exterior angles of a regular polygon is 360°

Now, we are told that the measure of an exterior angle of a regular polygon is (x + 10)°. Thus;

For an octagon, we have;

8(x + 10)° = 360°

8x + 80 = 360

8x = 360 - 80

8x = 280

x = 280/8

x = 35°

Thus, the value of x for the interior angle is 35°.

Read more about Polygons at; https://brainly.com/question/1592456

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