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ArohiRai
@ArohiRai
September 2021
1
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solve this question I mark you as brainliest
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siddhartharao77
Verified answer
Note: I have already answered this kind of question.
brainly.in/question/2004618
Given that ratio between an exterior angle and the interior angle = 1:4
We know that measure of an interior angle = (n - 2)(180/n) and the measure of an exterior angle = (360/n).
1/4 = (360/n) / (n - 2)(180/n)
1/4 = (360/n) / n/(n - 2) * 180
1/4 = (360/n) / n(180n - 360)
1/4 = (360)/(180(n - 2))
1/4 = 2/(n - 2)
1(n - 2) = 4 * 2
n - 2 = 8
n = 10.
Therefore the number of sides in the polygon = 10
Hope this helps!
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Sudeeksha123
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Answers & Comments
Verified answer
Note: I have already answered this kind of question. brainly.in/question/2004618Given that ratio between an exterior angle and the interior angle = 1:4
We know that measure of an interior angle = (n - 2)(180/n) and the measure of an exterior angle = (360/n).
1/4 = (360/n) / (n - 2)(180/n)
1/4 = (360/n) / n/(n - 2) * 180
1/4 = (360/n) / n(180n - 360)
1/4 = (360)/(180(n - 2))
1/4 = 2/(n - 2)
1(n - 2) = 4 * 2
n - 2 = 8
n = 10.
Therefore the number of sides in the polygon = 10
Hope this helps!