In the diagram, ST is parallel to UW, < WVT = xo, < VUT = yo, < RSV = 4...
Question
In the diagram, ST is parallel to UW, < WVT = xo, < VUT = yo, < RSV = 45o and < VTU = 20o. Find the value of x.
Options
A)
20
B)
45

C)
65
D)
135
The correct answer is B.
Explanation:
From the diagram SR//UW given that < RSV = 45\(^{\circ}\) and < WVT = x\(^{\circ}\)
< WVT = 45\(^{\circ}\)(corresponding angle)
x\(^{\circ}\) = 45
< WVT = 45\(^{\circ}\)(corresponding angle)
x\(^{\circ}\) = 45
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From the diagram SR//UW given that < RSV = 45\(^{\circ}\) and < WVT = x\(^{\circ}\)
< WVT = 45\(^{\circ}\)(corresponding angle)
x\(^{\circ}\) = 45