1 Answer

Gregg Williams · Answer 1 · 2021-10-22T07:34:31+0000

Answer:

WX=33

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

$\displaystyle WX=(PQ+SR)/(2)$

$\displaystyle WX=(27+39)/(2)=(66)/(2)=33$

WX=33

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