Question

What is the value of x in the diagram below?

Answer 1

Answer:

The answer to your question is: x = 100

Step-by-step explanation:

It's a polygon of 7 sides

The sum of internal angles in a polygon equals 180(n-2), where n = # of sides

                 

            Internal angles = 180(7-2)

                                      = 180(5)

                                     = 900°

      (x + 50) + (x + 50) + (x + 50) + x + x + x + (x + 50) = 900

      4(x + 50) + 3x = 900

      4x + 200 + 3x = 900

      7x = 900 - 200

      7x = 700

      x = 700 / 7

      x = 100