Q8) Part of a regular polygon is shown below. Each interior angle is 150°. (4
150°
Diagram not
accurately drawn
Calculate the number of sides of the polygon.

12 side polygon

Step-by-step explanation:

Interior angle of n side regular polygon: = ((n-2)x180)/n

((n-2)x180)/n = 150

(n-2)x180 = 150n

180n - 360 = 150n

30n = 360

n = 12

check: (12-2)x180/12 = 150

The polygon has 12 sides (a dodecagon).

Step-by-step explanation:

Angles in a Regular Polygon

A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that each angle (in a regular polygon) measures

We are given the interior angle of 150°, thus:

Multiplying by n:

Operating

Rearranging and simplifying:

n = 12

The polygon has 12 sides (a dodecagon).

idk this answer sorry cant on this one.

step-by-step explanation: