English, asked by vanshitakheskwani, 4 months ago

find the angle sum of a convex polygon of 7side​

Answers

Answered by ChrisMAji
1

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°.

Similar questions