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The measure of minor arc JL is 60°.
Circle M is shown. Line segments M J and M L are radii. Tangents J K and L K intersect at point K outside of the circle. Arc J L is 60 degrees.
What is the measure of angle JKL?
110°
120°
130°
140°
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120°
Reason: The angle between a tangent and a chord equals half the intercepted arc, so each tangent-chord angle = 1/2·60° = 30°. The angle between the two tangents is 180° − (30°+30°) = 120°.
Reason: The angle between a tangent and a chord equals half the intercepted arc, so each tangent-chord angle = 1/2·60° = 30°. The angle between the two tangents is 180° − (30°+30°) = 120°.
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