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what is the measure of one angle of a regular octagon

Sagot :

IGreenidn
We use the formula to find the sum of the interior angles of an octagon, then we can divide it by the number of sides it has.

[tex]\sf180(n-2)[/tex]

Where 'n' is the number of sides.

An octagon has 8 sides, so we have:

[tex]\sf180(8-2)[/tex]

Subtract:

[tex]\sf180(6)[/tex]

Multiply:

[tex]\sf1080[/tex]

This is the sum of all the angles in a regular octagon, and since an octagon has 8 angles, we divide by 8 to find the measure of one angle.

[tex]\sf1080\div8=\boxed{\sf135}[/tex]
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