Question

Question is down below Explain everything please and show work

Answer 1

We are given two lines that are tangent to a circle. The angle formed by the tangent lines is related by the minor and mayor ars by the following formula:

The formula is:

`x=(1)/(2)(M-m)`

Where:

`\begin{gathered} M=\text{ major arc} \\ m=\text{ minor arc} \end{gathered}`

In this case, we have that the minor arc is:

`m=98`

The major arc is determined using the fact that the sum of the major and minor arcs must add up to 360 degrees:

`m+M=360`

Substracting "m" from both sides:

`M=360-m`

Substituting the value of "m":

`M=360-98=262`

Now, we substitute the values in the formula for "x":

`x=(1)/(2)(262-98)`

Solving the operations:

`x=82`

Therefore, the value of "x" is 82.