Question

If the figure is a regular polygon find the value of x

Answer 1

Answer:

x = 21

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 12 , then

sum = 180° × 10 = 1800°

Each of the 12 interior angles = 1800° ÷ 12 = 150

Then

7x + 3 = 150 ( subtract 3 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21