Each corner of a convex polygon is 1350. Find the number of sides of this polygon.
| September 6, 2021 | education
1. Let’s denote the number of sides of a convex polygon by x.
2. Let’s compose and solve the equation.
180 ° * (x – 2) = 135 ° * x;
180 ° * x – 180 ° * 2 = 135 ° * x;
180 ° x – 360 ° = 135 ° x;
180 ° x – 135 ° x = 360 °;
45 ° x = 360 °;
x = 360 ° / 45 °;
x = 8.
3. The number of sides of a convex polygon is x = 8.
Answer: A convex polygon has 8 sides.
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