Question

Find the value of x​

Answer 1

x = 30

Explanation:

The sum of the interior angles of a polygon is

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

Here n = 5, thus

sum = 180° × 3 = 540°

Sum the given angles and equate to 540, that is

x + 106 + 90 + 74 + 8x = 540, simplify

9x + 270 = 540 ( subtract 270 from both sides )

9x = 270 ( divide both sides by 9 )

x = 30

Answer 2

9x= 360 -180

x= 180/9

x= 20°