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Bunuel
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180-110= 70
70 = 2B
b = 35
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180-110= 70
70 = 2B
b = 35
answer B :-D
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\(2B + 110 =180 => 2b=70 => b=\frac{70}{2}=35\)
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2b = 180 -110
=> b =70/2=35
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Bunuel

If quadrilateral WXYZ, above, is a parallelogram, what is the value of b?

A. 25
B. 35
C. 45
D. 50
E. 70

Referencing the diagram, we see that angle XWZ must be 70 degrees since angle XWZ and the 110-degree angle make up a straight line. We also see that angle XYZ (the 2b-degree angle) must be 70 degrees since opposite angles of a parallelogram are equal in measure. Thus, we have 2b = 70, or b = 35.

Answer: B
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