Calculate the number of sides of a regular polygon whose interior angles are each 156 degree.
The best solution will be marked as brainliest!!!
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Calculate the number of sides of a regular polygon whose interior angles are each 156 degree.
The best solution will be marked as brainliest!!!
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Step-by-step explanation:
The number of degrees in each angle of a regular polygon with n sides is 180(n-2)/n .
180(n-2)/n = 156, 180(n-2) = 156n,
So 24n = 360, n = 360/24 = 15 sides
Answer:
hope it will help
Step-by-step explanation:
Each interior angle of regular polygon = 156
number of sides (n) = ?
we know,
Each interior angle of regular polygon = ( n-2)×180÷n
156 = 180n - 360 ÷n
do cross multiply
156n = 180n - 360
360 = 180n - 156n
360 = 24n
360÷24= n
15 = n
Therefore, number of sides = 15