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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

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