find the angle sum of a convex polygon of 7side
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Answer:
5 × 180° = 900°
Step-by-step explanation:
The sum of the internal angles of a convex polygon with n sides is (n-2)×180°.
To see why, pick a vertex and draw lines from there to the other vertices. This cuts the polygon into n-2 triangles. The sum of the internal angles of the polygon is then just the sum of the angles in these triangles, so we get (n-2)×180°.
For this question, we have n = 7, so the sum of the angles is:
(7-2) × 180° = 5 × 180° = 900°.
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