Respuesta :
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
The value of x for the octagon considering the value of the exterior angle is; x = 35°
What is the exterior angle of a Polygon?
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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