Question

find the measure of minor arc \\(\overarc{km}\\).

write your answer as a whole number or a decimal.
\\(m\overarc{km} = \square^\circ\\)

Explanation:

Step1: Recall the formula for the measure of an angle formed by two secants

The measure of an angle formed by two secants outside a circle is given by $\frac{1}{2}(\text{measure of the intercepted arc}-\text{measure of the other intercepted arc})$. So, $m\angle L=\frac{1}{2}(m\overarc{JN}-m\overarc{KM})$.

Step2: Substitute the known values

We know that $m\angle L = 33^{\circ}$ and $m\overarc{JN}=104^{\circ}$. Substituting these values into the formula $33=\frac{1}{2}(104 - m\overarc{KM})$.

Step3: Solve for $m\overarc{KM}$

Multiply both sides of the equation by 2: $33\times2=104 - m\overarc{KM}$. So, $66 = 104 - m\overarc{KM}$. Then, $m\overarc{KM}=104 - 66$.

Answer:

$38$