501,506 views
42 votes
42 votes
Find the value of x ifm/P = 22. All lines that appear tangent, are tangent.Pof7

Find the value of x ifm/P = 22. All lines that appear tangent, are tangent.Pof7-example-1
User Raghav Chopra
by
3.2k points

1 Answer

10 votes
10 votes

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

User Yemi
by
3.3k points