Question

What is the value of x? ° an irregular pentagon. The interior angles of the pentagon measure x degrees, 131 degrees, 108 degrees, 107 degrees, and 110 degrees.

Answer 1

Interior Angle Sum = 180(n - 2)  

pentagon has 5 sides so let n = 5.   Sum = 180(5 - 2)   = 180(3)   = 540

x + 131 + 108 + 107 + 110 = 540

                         x + 456 = 540

                                    x = 84

Answer: 84°