Question

drag the expressions into the boxes to correctly complete the solution. m∠knm = 1/2(m\\(overparen{km}\\) - m\\(overparen{lk}\\)) = 1/2(160 - 96) = 1/2(64) = 32°

Explanation:

Step1: Recall angle - measure formula

The measure of an angle formed by two secants, two tangents or a secant and a tangent is half the difference of the measures of the intercepted arcs. Here, for $\angle KNM$ formed by two tangents, $m\angle KNM=\frac{1}{2}(m\overparen{KM}-m\overparen{LK})$.

Step2: Identify arc measures

Let's assume the measures of the arcs are such that if we calculate $\frac{1}{2}(160 - 96)$. First, $160-96 = 64$. Then, $\frac{1}{2}\times64=32$.

Answer:

$32^{\circ}$