Answer:
The correct option is D.
Step-by-step explanation:
Given information: Measure of arc AC = 160° and arc AKC = 200°.
If two tangents intersecting outside the circle then their included angles is equal to half of difference of major and minor arc.
[tex]\text{Included angle}=\frac{1}{2}(\text{Major arc - Minor arc})[/tex]
According to the given figure,
[tex]\angle CLA=\frac{1}{2}(Arc(AKC)-Arc(AC))[/tex]
[tex]\angle CLA=\frac{1}{2}(200^{\circ}-160^{\circ})[/tex]
[tex]\angle CLA=\frac{1}{2}(40^{\circ})[/tex]
[tex]\angle CLA=20^{\circ}[/tex]
The measure of angle CLA is 20°. Therefore the correct option is D.
