Answer:
WX=33
Step-by-step explanation:
Isosceles Trapezoid
The base angles of an isosceles trapezoid are congruent. The base angles of the trapezoid shown in the figure are P and Q, and S and R.
Midsegment Theorem: The length of the midsegment of a trapezoid is the average of the lengths of the bases.
Being W and X the midsegments of PS and QR respectively, then WX is the midsegment of PQ and SR, thus
[tex]\displaystyle WX=\frac{PQ+SR}{2}[/tex]
[tex]\displaystyle WX=\frac{27+39}{2}=\frac{66}{2}=33[/tex]
WX=33
