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Answer
A) 〖128.6〗^o

Explanation
The question requires us to find the interior angle of a regular heptagon.
To do this first calculate the exterior angle of that polygon.
The sum of exterior angles is 360o. A heptagon has 7 sides.
So, one exterior angle = 〖360〗^o/7=〖51.4〗^o
interior angle+exterior angle=〖180〗^o
exterior=180-51.4=〖128.6〗^o

Answer: Measure of each angle on the sign is 128.6° .

Step-by-step explanation:

Since we have given that

A road sign is in the shape of a regular heptagon.

As we know that "Sum of exterior angles is always 360°":

And there is 7 sides in a regular heptagon.

So, Measure of each exterior angle is given by

[tex]\frac{360^\circ}{7}\\\\=51.42^\circ[/tex]

so, we know that "Sum of exterior angle and interior angle is supplementary."

[tex]Interior\ Angle+Exterior\ Angle=180^\circ\\\\Interior\ Angle+51.42^\circ=180^\circ\\\\Interior\ Angle=180^\circ-51.42^\circ\\\\Interior\ Angle=128.58^\circ=128.6^\circ[/tex]

Hence, Measure of each angle on the sign is 128.6° .

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