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question 6 of 10 based only on the information given in the diagram, it…

Question

question 6 of 10 based only on the information given in the diagram, it is guaranteed that △rst~△uvw. a. true b. false

Explanation:

Step1: Check angle - angle similarity.

In \(\triangle RST\), \(\angle R = 72^{\circ}\), \(\angle T=90^{\circ}\), so \(\angle S = 180^{\circ}-72^{\circ}-90^{\circ}=18^{\circ}\). In \(\triangle UVW\), \(\angle V = 18^{\circ}\), \(\angle W = 90^{\circ}\), \(\angle U=72^{\circ}\). Two - pairs of corresponding angles are equal.

Answer:

A. True