Each corner of a convex polygon is 140 degrees. Find the number of sides of this polygon.
| September 18, 2021 | education
1. We take as x the number of sides of a given geometric figure.
2.Considering that, according to the corresponding theorem, the total value of all interior angles of any convex polygon is 180 ° (x – 2), we compose the equation:
140x = 180 (x – 2);
140 x = 180x – 360:
40x = 360;
x = 9.
Answer: This polygon has 9 sides.
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