Question

PLEASE HELP

Use the figure below to answer the question. Find the value of the missing angle. Remember the figure is not drawn to scale. Show all of your work. Don’t forget to label your answer.

Answer 1

x = 118

Explanation:

The sum of the interior angles of a polygon is

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

Here n = 5 , then

sum = 180° × 3 = 540°

Sum the interior angles and equate to 540

89 + 117 + 157 + 59 + x = 540 , that is

422 + x = 540 ( subtract 422 from both sides )

x = 118