Question

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

Answer 1

We have that:

The tangent line and radius form a 90° angle.

The sum of the internal angles of a triangle is 180°.

Therefore:

`P+x+90=180`

Where:

Substitute the value:

`\begin{gathered} 22+x+90=180 \\ 112+x=180 \end{gathered}`

Solve for x:

`\begin{gathered} 112+x-112=180-112 \\ x=68 \end{gathered}`

Answer: 68