Answer:
x = 6
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{MO}{PR}[/tex] = [tex]\frac{MN}{PQ}[/tex] ( substitute values )
[tex]\frac{4+x}{5}[/tex] = [tex]\frac{x-2}{2}[/tex] ( cross- multiply )
5(x - 2) = 2(4 + x) ← distribute parenthesis on both sides
5x - 10 = 8 + 2x ( subtract 2x from both sides )
3x - 10 = 8 ( add 10 to both sides )
3x = 18 ( divide both sides by 3 )
x = 6
