in the figure, PQ||ST, RS||UV. If PQR = 35o and QRS = 65o, find STV
Attached Figure / Diagram
A
30o
B
35o
C
55o
D
65o
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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)
Source: Myschool Past Questions Archive (Record #32841)