Question

A polygon which is regular has interior angles measuring 150°. This polygon is called a:​

Answer 1

Explanation:

equilateral triangle

Answer 2

• 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:

• S = 180(n - 2)

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