Quadrilateral WXYZ has interior angles that meet the following criteria: Angles W and X are congruent . The smallest angle's measure is 100° less than twice the measure of angle W . The largest angle's measure is 10more than twice the measure of angle X Find the measure of the smallest angle in the quadrilateral .

Smallest angle is °

Step-by-step explanation:

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 ° .