umber or sides of the polygon
or the waternal angles
sexig 3.9
- - 0
50110- 360° (Why?
*+250 - 100
- 110
TRY THESE ok but how we will find answers
Answers
Answer:
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Answer:
For n sided regular polygon, each of the internal Angles = (180°n - 360°)
Step-by-step explanation:
If the number of sides of a regular polygon is 3 (n=3),
then Sum of the internal angles = 180° = 1 x 180° = (3 - 2) x 180°
If the number of sides of a regular polygon is 4 (n=4), connecting a diagonal we get two triangles:
then Sum of the internal angles =2 x 180° = (4 - 2) x 180°
If the number of sides of a regular polygon is 5 (n=5), connecting two diagonals from single vertex, we get three triangles:
then Sum of the internal angles =3 x 180° = (5 - 2) x 180°
Similarly, If the number of sides of a regular polygon is n, connecting (n-3) diagonals from single vertex, we get (n-2) triangles:
then Sum of the internal angles =(n-2) x 180°
∴ Each of the internal Angles will measure:
= x 180° = (180°n - 360°)