One who explains better will get brainliest

First, you have to find out the missing angle of the quadrilateral. We know that there are two right angles, one angle measuring 110° degrees, and that all the angles must add up to 360°.
We can use the equation
90+90+110+x=360
290+x=360
x=70
Now that we found the missing angle, we have the find the value of x. 
We know that since it is a straight line, the two angels must add up to 180°
We can use the equation
70+x=180
x=110
Therefore the value of x is 110°
 

1) First way:
The sides that are legs of the trapezoid is parallel, angles 110⁰ and x are opposite interior angles that are congruent. So x=110⁰

2) Second way
Sum of all angles are 360⁰,
So (90+90+110+y)=360
180+110+y=360 (y is the 4th angle in trapezoid)
290+y=360
y=360-290=70
x+y=180
x+70=180
x=110⁰