1 Answer

Mikael Sundberg · Answer 1 · 2023-02-19T23:32:01+0000

We are given two chords of equal length, this means that the arc they form are equal, this means:

$\text{mAC}=\text{mBD}$

Replacing the expressions for each arc we get:

From this expression we can solve for "x" first by subtracting "4x" to both sides:

Now we subtract 5 to both sides:

Now we add like terms:

Now we replace this value of "x" in the expression for arc BC-:

$\text{mBC}=x+16$

Replacing the value of "x":

$\begin{gathered} \text{mBC}=22+16 \\ \text{mBC}=38 \end{gathered}$

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