For the given figure, a parallel to b and l parallel to m
x° = 95°
y° = 95°
z = 85°
From figure,
a || b and l || m
∠RUT = ∠aRU (Alternate interior angle)
∠RUT = 85°
Again,
∠RUT + ∠UTS = 180° (Co-interior angle)
85° + x° = 180°
x° = 180° - 85°
x° = 95°
again from figure,
x° = y° (Vertical opposite angle)
y° = 95°
also,
∠UTS + z° = 180° (Linear Pair)
x° + z° = 180°
z° = 180° - x°
= 180° - 95°
z° = 85°
So from above calculation,
x° = 95°
y° = 95°
z = 85°
Hence option B is correct
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