Question

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Answer 1

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°
 

Answer 2

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