Range of values of x is [tex]32<x<33[/tex].
Step-by-step explanation:
With Rule of concurrency of two triangles, we have,
[tex]\frac{Angle1}{Side1} = \frac{Corresponding Angle}{Corresponding Side}[/tex]
⇒[tex]\frac{x+2}{13} = \frac{37}{14}[/tex]
⇒ [tex]14(x+2) = 37(13)[/tex]
⇒ [tex]14x + 28 = 481[/tex]
⇒[tex]14x = 453[/tex]
⇒ [tex]x = \frac{453}{14}[/tex]
On simplifications, [tex]x = 32.37[/tex]
∴Range of values of x is [tex]32<x<33[/tex].
