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In the diagram parallel lines P and Q are cut by transversal R. What is the value of x?

Math homework I’m doing late because was lazy. Need ASAP or what ever look at the image and the question will make sense. Also thanks I really need this preciate it.

In the diagram parallel lines P and Q are cut by transversal R. What is the value-example-1
User Tewdyn
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1 Answer

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The value of x in the diagram is 125

Since P and Q are cut by the traversal R , (2x + 40) and (3x - 85) are alternate angles

Now we have;

  • (2x + 40) = (3x - 85) (Alternate angles are equal)

Collect like terms

2x - 3x = -85 - 40

-x = -125

divide both sides by -1

x = 125

Therefore, the value of x is 125

User Kev Ritchie
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