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What is the sum of the measures of the interior angles of the stop sign? ° If the stop sign is a regular octagon, what is the measure of each interior angle? °

Respuesta :

wolf1728
Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Sum of Interior Angles = (8 -2) * 180 = 1,080

EACH interior angle = 180 - (360 / 8)

EACH interior angle = 180 - 45 = 135



yoodyannapolis

The sum of the interior angles is 1080 degree and measure of interior angle is 135 degree.

As we know that

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Since octagon has eight sides. That is n = 8

Now, sum of Interior Angles

[tex]= (8 -2) \times180 \\=6\times180 \\= 1,080[/tex]

And the measure of interior angle

[tex]= 180 - (\frac{360}{n} )\\n=8\\= 180 - (\frac{360}{8} )\\=135[/tex]

Therefore, the sum of the interior angles is 1080 degree and measure of interior angle is 135 degree.

Learn more:https://brainly.com/question/21040657

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