Respuesta :

Answer:

a = 150

Step-by-step explanation:

The sum of the internal angles of an octagon is 1080°.

[tex]4a+4(120)=1080[/tex] (There are four [tex]120^{\circ}[/tex] and 4 [tex]a^{\circ}[/tex], they sum to 1080°)

[tex]4a + 480 = 1080[/tex]

[tex]4a = 600[/tex]

[tex]a = 150[/tex]

Hope this helps :)

Answer:

a = 150

Step-by-step explanation:

A octagon is 1080 degrees. The half circles are showing which angles are the same. So all the red circles are 120 degrees. To find the green circles, multiply 120 by 4 for the total of the four angles and then subtract it from 1080:

120(4) = 480

1080 - 480 = 600

So 600 is the total of all the green half circles added together, so divide 600 with 4 because there are four green half circles.

600/4 = 150

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