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In parallelogram UVWX, U = 9x+15 and V = 6x+15. find W and X.​

User Tim Hysniu
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2 Answers

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Final answer:

In a parallelogram, opposite angles are equal. Therefore, if U = 9x + 15 and V = 6x + 15, angles W and X will also be 6x + 15 and 9x + 15, respectively.

Step-by-step explanation:

The question is asking to find the angle measures of the remaining interior angles in a parallelogram given two of its interior angle expressions. In parallelograms, opposite angles are equal. Therefore, if U = 9x + 15 and V = 6x + 15, then angle W, being opposite to V, will also be 6x + 15, and angle X, being opposite to U, will be 9x + 15.

User Seho
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Answer:


W = 9x + 15
X = 6x + 15

Step-by-step explanation:

Given

Shape: Parallelogram


U = 9x + 15


V = 6x + 15

Required

Determine W and X

Opposite sides of a parallelogram are equal.

So:


U =W and
V = X

By substituting values of V and U in the above expressions, we have:


9x + 15 = W


W = 9x + 15


6x + 15 = X


X = 6x + 15

User Parlad
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