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in the figure, ( pq = qr = rs ). find ( wv ). the length of ( wv ) is

Question

in the figure, ( pq = qr = rs ). find ( wv ).
the length of ( wv ) is

Explanation:

Step1: Use the property of parallel lines and equal - segment

Since \(PQ = QR = RS\) and the lines are parallel, by the property of parallel lines cutting trans - versals proportionally, we have \(WV=XY + YZ+ZS\). Also, \(XY = 2.8\), \(YZ = 1.8\).

Step2: Calculate \(WV\)

Because of the equal - segment and parallel - line relationship, \(ZS=XY = 2.8\). Then \(WV=2.8 + 1.8+2.8\).

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Answer:

\(7.4\)