Math, asked by ArohiRai, 1 year ago

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Answers

Answered by Yuichiro13
0
Hey

--> Sum of Interior Angles of a n-sided closed polygon is given by --> ( 2n - 4 )right Angles

=> The sum of interior Angles of a Hexagon is ---> ( 2(6) - 4 ) 90° = 8 * 90° = 720°

But since all the angles are same :->
--> Each angle = 720° / 6 = 120° ✓✓
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For 14 sided polygon -->
--> Measure of each angle = [ 2( 14 ) - 4 ]90° / 14
= 24 * 90° / 14 = 154.28°

There you have it......
Hope this helps ^_^
Answered by Prusty07
0
Since all angles are equal in the hexagon then it is a regular hexagon
And hexagon six angle sum is 720 degree.
So each angle will be 720/6 = 120 degree.
Now by angle sum property = (n-2)×180

(14-2) × 180 = 2160
Now each angle = 2160/14 = 154.3 degree

Hope this helps
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