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:

$x=\frac{1}{2}(M-m)$

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":

$x=\frac{1}{2}(262-98)$

Solving the operations:

$x=82$

Therefore, the value of "x" is 82.