Question

A regular polygon is shown, with the measure of one of its angles labeled 3x − 15.

8 sided regular polygon with one angle labeled 3 times x minus 15

Determine the value of x.

x = 40
x = 65
x = 50
x = 135

Answers

  1. The required value of the x in the given expression is 50°.
    Given that,
    A regular polygon is shown, with the measure of one of its angles labeled 3x − 15.

    What is a polygon?

    A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
    Examples of polygons, equilateral triangles, squares, pentagons, etc
    Here,
    For the octagon,
    The angle of a vertex is 135°.
    Equating the angles,
    3x  -15 = 135
    3x = 135 + 15
    3x = 150
    x = 50
    Thus, the required value of the x in the given expression is 50°.
    Learn more about polygon here:

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  2. Answer:
    x = 50
    Step-by-step explanation:
    The interior angle at each vertex of regular octagons are 135°.
    3(50) – 15 = 135
    For the polygon to be an 8 sided regular polygon like you said, the angle must equal 135, and so x must equal 50.

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