Answer:
x = 5
Step-by-step explanation:
The 2 triangles are similar by the AA postulate then the ratios of corresponding sides are equal , that is
[tex]\frac{x+x+10}{30+10}[/tex] = [tex]\frac{x+10}{30}[/tex]
[tex]\frac{2x+10}{40}[/tex] = [tex]\frac{x+10}{30}[/tex] ( cross- multiply )
30(2x + 10) = 40(x + 10) ← distribute parenthesis on both sides
60x + 300 = 40x + 400 ( subtract 40x from both sides )
20x + 300 = 400 ( subtract 300 from both sides )
20x = 100 ( divide both sides by 20 )
x = 5
