Question

Solve for x. Enter your answer in the box. x = ° An irregular hexagon. The angles of the hexagon are x degrees, 108 degrees, 113 degrees, 132 degrees, 75 degrees and 160 degrees.

Answer 1

Answer:

x = 132°

Step-by-step explanation:

The sum of the interior angles of a polygon is

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

A hexagon has 6 sides, thus n = 6

sum = 180° × 4 = 720°

Sum the given interior angles and equate to 720

x + 108 + 113 + 132 + 75 + 160 = 720, that is

x + 588 = 720 ( subtract 588 from both sides )

x = 132°