If the measure of minor arc JL is 60 degrees, what is the measure of angle JKL?

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To determine the measure of angle JKL when the measure of minor arc JL is 60 degrees, we can use the relationship between an angle formed by two chords in a circle and the arcs they intercept.

In a circle, the measure of an angle formed by two chords (like angle JKL) that intersects at a point on the circle is equal to half the measure of the arc that it subtends. In our case, angle JKL subtends arc JL.

Given that the measure of minor arc JL is 60 degrees, we can find the measure of angle JKL using the formula:

   Measure of angle JKL = 1/2 * Measure of arc JL

Plugging in the values, we get:

   Measure of angle JKL = 1/2 * 60 degrees

Calculating this gives:

   Measure of angle JKL = 30 degrees

Therefore, the measure of angle JKL is 30 degrees.

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