In each figure two similar triangles Find x and ySolutionin

In each figure, two similar triangles Find x and y

in similar triangles the sides are in same proportion

so applying the property in bigger triangle and smaller triangle

(x - 5 ) / 15 = 5 / 15

solving , we get

x - 5 = 5

x = 10

finding y now

x - 2y / ( 2x - y ) = 5 / 15

plugging the value of x

( 10 - 2y ) / ( 20 - y ) = 1 / 3

3 ( 10 - 2y ) = 20 - y

30 - 6y = 20 - y

5y = 10

y = 2

hence,

x = 10 , y = 2