Answer:
- Dodecagon (12 - sided polygon)
Explanation:
Let it be n- sided polygon.
Sum of interior angles is 150n.
On the other hand we know the sum of interior angles of a regular n - sided polygon is calculated using the following formula:
Compare the sums and solve for n:
- 180(n - 2) = 150n
- 180n - 360 = 150n
- 180n - 150n = 360
- 30n = 360
- n = 360/30
- n = 12
12-sided polygon is called dodecagon