how can we prove the sum of exterior angles is 360
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yes we can prove it all exterior angles are 360
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Let a, b, c be the 3 angles of the triangle.
a + b + c = 180º
The exterior angles of the triangle, one per vertex, will be supplemental to each of the 3 angles.
(180 - a), (180 - b), (180 - c)
Add them together and you get
540 - a - b - c
540 - (a + b + c)
540 - 180 = 360º (Proved)
a + b + c = 180º
The exterior angles of the triangle, one per vertex, will be supplemental to each of the 3 angles.
(180 - a), (180 - b), (180 - c)
Add them together and you get
540 - a - b - c
540 - (a + b + c)
540 - 180 = 360º (Proved)
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