Question

Find the value of x .

Answer 1

x = 113

Explanation:

the sum of the interior angles of a polygon is

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

here n = 8 , then

sum = 180° × 6 = 1080°

sum the interior angles and equate to 1080

x + 137 + 144 + 139 + 123 + 150 + 142 + 132 = 1080

x + 967 = 1080 ( subtract 967 from both sides )

x = 113