Question

learn with an example or watch a video\\(\overrightarrow{kj}\\) is tangent to the circle at \\(j\\), \\(\overrightarrow{kl}\\) is tangent to the circle at \\(l\\). find the measure of \\(\angle jkl\\).\
write your answer as a whole number or a decimal.\
\\(m\angle jkl = \square^\circ\\)\
submit

Explanation:

Step1: Recall tangent - circle angle property

The measure of an angle formed by two tangents drawn from an external point to a circle is equal to \(180^{\circ}\) minus the measure of the intercepted arc. Let the intercepted arc \(JL\) have a measure of \(83^{\circ}\). The formula for the measure of \(\angle JKL\) (where \(K\) is the external point) is \(m\angle JKL=180^{\circ}-\text{measure of arc }JL\).

Step2: Calculate the measure of \(\angle JKL\)

Given that the measure of arc \(JL\) is \(83^{\circ}\), we substitute this value into the formula: \(m\angle JKL = 180 - 83\).
\(180-83 = 97\).

Answer:

\(97\)