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Find each value or measure. Assume that all segments that appear to be tangentare tangent. Find JLK

Find each value or measure. Assume that all segments that appear to be tangentare-example-1
User Faisal Naseer
by
3.3k points

1 Answer

9 votes
9 votes

Answer

Angle JLK = 31°

Step-by-step explanation

To answer this, we will use the tangent-chord theorem.

So, the intercepted arc JNL has an angle 298°

Then, we can solve for the tangent chord angle next to it, Angle JLM first by saying

Angle JLM = (Intercepted arc JNL)/2

Angle JLM = (298°/2)

Angle JLM = 149°

Then, we can see that Angle JLM and Angle JLK lie on the same straight line, KLM.

Sum of angles on a straight line is 180°.

Angle JLK + Angle JLM = 180°

Angle JLK + 149° = 180°

Angle JLK = 180° - 149°

Angle JLK = 31°

Hope this Helps!!!

Find each value or measure. Assume that all segments that appear to be tangentare-example-1
User Venkata Gogu
by
2.9k points