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Since these two triangles are similar, we know that their corresponding angles have to be congruent.
Because of this, we know that angle K has to be equal to angle T; that is 110 = 2x - 14
Solving, we get: 124 = 2x; x = 62.
We can find the measure of angle W by using the fact that all the angles of a triangle have to add up to 180 degrees. Therefore, angle W has to be 30 degrees. Angle W corresponds to angle B. So, y = 30.
This is choice B.
Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 28th, 2015
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