Smallest angle is
°
<u>Step-by-step explanation:</u>
Here we have , Quadrilateral WXYZ has interior angles that meet the following criteria:
Angles W and X are congruent.
According to question , angles are congruent i.e. Both angle measure same
⇒ 
Now ,
• The smallest angle's measure is 100° less than twice the measure of W.
According to above statement we have ,
Smallest angle = 
• The largest angle's measure is 10º more than twice the measure of X. ( correction , in question given as 2X )
According to above statement we have ,
Largest angle = 
Now , We know that sum of all 4 angles in 360 i.e.
⇒
{ X=W }
⇒ 
⇒ 
⇒ 
Smallest angle is :
Therefore , Smallest angle is
° .