Answer:
x = 10
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{TS}{TB}[/tex] = [tex]\frac{TR}{TC}[/tex] ( substitute values )
[tex]\frac{10x+17}{65}[/tex] = [tex]\frac{90}{50}[/tex] ( cross- multiply )
50(10x + 17) = 90 × 65 = 5850 ( divide both sides by 50 )
10x + 17 = 117 ( subtract 17 from both sides )
10x = 100 ( divide both sides by 10 )
x = 10
