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The triangles are similar. what is the value of x? show your work.

Will give are given that xy is parallel to zw. if xz is a transversal that intercepts xy and zw, angle angle alternate interior angles. since xy is parallel to zw, we know that these angles are we also know that angle xvy and angle zvw are , and thus congruent. we can conclude that △xyv ~ △zwv using the similarity theorem.

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).