Question

12. Use the diagram to determine the value of x

Answer 1

x = 127

Explanation:

the sum of the interior angles of a polygon is

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

here n = 6 , then

sum = 180° × 4 = 720°

sum the interior angles and equate to 720

x + x + 155 + 80 + 98 + 133 = 720 , that is

2x + 466 = 720 ( subtract 466 from both sides )

2x = 254 ( divide both sides by 2 )

x = 127

Answer 2

127 degrees = x

Explanation:

A six sided polygon has interior angles that sum to

(n-2)(180) = (6-2)(180 = 720

so all of the angles in the question add to 720

98 + 133 + x + x + 155 + 80 = 720

solve for x = 127 degrees