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The same analogy can be used to show that this property holds true for any convex polygon in a Euclidean plane.

frendlyleaf
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Let the angles of the triangle be x, y and z .
Using exterior angle property, -
Ext 1 - x+y
Ext 2 - y+z
Ext 3 - x+z
Total ext angle = x+y+y+z+x+z
=> 2x+2y+2z
=>2(x+y+z)
[since sum of all angles of a triangle is 180 ]
Therefore, x+y+z = 180
Total Ext angle =
2×180= 360
THIS APPLIES FOR EVERY POLYGON .

falconlol
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No matter how many sides the polygon has, its exterior angles' sum is always 360°.

AnjuJhanwar
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exterior angle relating to circle is amazing

karanamnaveenkumar
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I'm best at mathematics but at the same I hate mathematics the most 😅

SN_Allen-Star-Sporty.