Triangle XYZ is similar to triangle RST such that X,Y, and Z correspond to R, S, and T, respectively.The measure of ∠Z is 20° and 2 XY = RS. What is the measure of ∠T ?
Correct answer: C. 20
- A. 2
- B. 10
- C. 20
- D. 40
Explanation
Choice C is correct. It's given that triangle XYZ is similar to triangle RST , such that X, Y , and Z correspond to R, S, and T , respectively. Since corresponding angles of similar triangles are congruent, it follows that the measure of ∠ Z is congruent to the measure of ∠T . It's given that the measure of ∠ Z o o is 20° .Therefore, the measure of ∠T is 20° .
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