Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of the unknown side or the value of x is 90m.
What are Similar Figures?
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
Since line PQ and RS are parallel, therefore, ΔOPQ is similar to ΔORS, thus, the ratio of the sides of the two triangles will be equal,
OP/PQ = OR/RS
180/x = (180+540)/360
180/x = 720/360
x = (180×360)/720
x = 90 m
Hence, the length of the unknown side or the value of x is 90m.
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