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Answer:
p = 64°, q = 64°, r = 64°, s = 116°, t = 64°
Step-by-step explanation:
[tex]p = 180\degree - (58\degree + 58\degree) \\
P = 180\degree -116\degree \\
p = 64\degree \\\\
q = p = 64\degree... (vertical \: \angle 's) \\
r = p = 64\degree... (corresponding \: \angle 's) \\
t = r = 64\degree... (vertical \: \angle 's) \\
r + s = 180\degree.. (straight \: line \: \angle' s) \\
64\degree + s= 180\degree\\
s = 180\degree - 64\degree\\
s = 116\degree [/tex]