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hayy mate here your answer ✔️ ✔️
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The formula for angle sum in any n-gon is Sum=(n-2)*180.
In a regular n-gon, each angle will be the average, or the sum divided by n:
(n-2)*180/n
Given: (n-2)*180/n = 145
Multiply by n: (n-2)*180 = 145n
Distribute: 180n - 360 = 145n
Subtract 145n: 35n - 360 = 0
Divide by 35: n - 12 = 0.
Add 12: n = 12.
So a regular 12-sided polygon (a regular dodecagon) has 120 degree interior angles.
____________________________
The formula for angle sum in any n-gon is Sum=(n-2)*180.
In a regular n-gon, each angle will be the average, or the sum divided by n:
(n-2)*180/n
Given: (n-2)*180/n = 145
Multiply by n: (n-2)*180 = 145n
Distribute: 180n - 360 = 145n
Subtract 145n: 35n - 360 = 0
Divide by 35: n - 12 = 0.
Add 12: n = 12.
So a regular 12-sided polygon (a regular dodecagon) has 120 degree interior angles.
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