Astudent claims that a rotation of 180° about the center of a regular polygon carries the polygon onto itself.
which statement best describes the student's claim?
a
the student's claim is true for all regular polygons.
b
the student's claim is not true for any regular polygon.
c
the student's claim is true for regular polygons with an odd number of sides.
d
the student's claim is true for regular polygons with an even number of sides.

step-by-step explanation:

c.the student claim is true for a regular polygons with an even number of sides

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1