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Condition for Two Lines to Be Parallel

In the given ...

Question

In the given figure, ∠POR = 3x and ∠QOR = 2x + 10, find the value of x for which POQ will be a line.

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Solution

Here we have POQ as a line

So, andform a linear pair.

Therefore, their sum must be equal to.

Or, we can say that

It is given that and .On substituting these values above, we get :

Hence, the value of x is .

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Condition for Two Lines to Be Parallel

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