Find the value of x ifm/P = 22. All lines that appear tangent, are tangent.Pof7

We have that:
The tangent line and radius form a 90° angle.
The sum of the internal angles of a triangle is 180°.
Therefore:
[tex]P+x+90=180[/tex]Where:
Substitute the value:
[tex]\begin{gathered} 22+x+90=180 \\ 112+x=180 \end{gathered}[/tex]Solve for x:
[tex]\begin{gathered} 112+x-112=180-112 \\ x=68 \end{gathered}[/tex]Answer: 68