Answer:
[tex]x=6[/tex]
[tex]TK=72[/tex]
Step-by-step explanation:
Because there are two smaller lines drawn in lines TA and AK, it means that the length of TA is the same as AK.
Hence, [tex]6x=4x+12[/tex]
Subtract 4x from both sides:
[tex]6x-4x=4x+12-4x[/tex]
[tex]2x=12[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{12}{2}[/tex]
[tex]x=6[/tex]
To find TK,
[tex]6x+4x+12=10x+12=10\times 6+12=60+12=72[/tex]
