# Given △QRS ~ △XYZ, what is the value of tan(Q)?

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## Question:

Given △QRS ~ △XYZ, what is the value of tan(Q)?

The value of tan(Q) in triangle QRS is 3/4.

### Similar figures

Two figures are said to be similar to each other if they have the same shape and the ratio of their corresponding sides are proportional. Corresponding angles are equal.

Given that triangle QRS is proportional to triangle XYZ

∠Q = ∠X, ∠S = ∠Z, ∠R = ∠Z

tan(Q) = tan(X) = 9/12

tan(Q) = 3/4

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