Question

A polygon has 7 sides. The interior angle measures are 127, 129, 126, 135, 136, 122, and x. Find the value of x.

Answer 1

Answer:

x = 125

Step-by-step explanation:

Total angle of a polygon with n sides is given by (n - 2) × 180

so total angle of a polygon with 7 sides = (7 - 2) × 180

= 5 × 180

=900

so, 127 + 129 + 126 + 135 + 136 + 122 + x = 900

x + 775 = 900

x = 125