Correct Answer: Option A

Explanation

Draw a line WX through R and parallel to \(\overline{PQ}\) and \(\overline{ST}\) as shown in the diagram above

X\(\widehat{R}\)Q = P\(\widehat{Q}\)R = 35º

X\(\widehat{R}\)Q + X\(\widehat{R}\)S = 65º

35 + x = 65

x = 65 - 35 = 30º

R\(\widehat{S}\)T = 30º (Alternative angle)

S\(\widehat{T}\)V = 30º (Alternative angle)

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