Respuesta :

Answer:

x = 140

Step-by-step explanation:

The figure is a quadrilateral. That means it has 4 sides and more importantly for this question 4 angles. All quadrilaterals have 4 angles that add up to 360o.

You know 3 of the angles. The fourth one is x.

90 + 90 + 40 + x = 360                    Combine like terms on the left

220 + x  = 360                                  Subtract 220 from both sides.

220 - 220 + x = 360 - 220               Combine all like terms

x = 140