Question

please help figure out this problem i’m trying to determine if the lines that appear to be tangent are tangent

Answer 1

Suppose that the two lines that form the missing angle are tangents to the circle. Then, the measure of the missing angle can be found using the following equation:

`\measuredangle ABC=\frac{arc\text{ AEC - arc AGC}}{2}`

Notice that we can complete the information about the arcs of the circle with the central angle:

then, we can find the angle x with the following expression:

`\begin{gathered} \measuredangle x=(243-117)/(2)=(126)/(2)=63 \\ \Rightarrow\measuredangle x=63\degree \end{gathered}`

therefore, the measure of the missing angle is 63 degrees.