the sum of the measure of external angle of any polygon is
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the sum of the measure of external angle of any polygon is 360⁰
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Answer:
360
Explanation:
Let the polygon having n sides.
We know that,
⇒ Exterior angle + Interior adjacent angle =180
o
.
So, if the polygon has n sides, then
⇒ Sum of all exterior angles + Sum of all interior angles =n×180
o
.
⇒ So, sum of all exterior angles =n×180
o
− Sum of all interior angles
⇒ Sum of all exterior angles =n×180
o
−(n−2)×180
o
.
=n×180
o
−n×180
o
+2×180
o
=180
o
n−180
o
n+360
o
=360
o
∴ The sum of exterior angles of any polygon is 360
o
.
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