Respuesta :

Answer:

x = 51

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Which means that 77 + 107 + 156 + 149 + x = 540

                                    ^ ( note that we just created an equation that we can      

                                        use to solve for x )

We then solve for x using that equation

77 + 107 + 156 + 149 + x = 540  

step 1 combine like terms

77 + 107 + 156 + 149 = 489

we now have 489 + x = 540

step 2 subtract 489 from each side

489 - 489 cancels out

540 - 489 = 51

we're left with x = 51