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Transversal of Parallel Lines

In the given ...

Question

In the given figure, if l || m, n || p and ∠1 = 85°, find ∠2.

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Solution

The figure is given as follows:

It is given that .

Thus,and are corresponding angles.

Therefore,

It is given that . Therefore,

...(i)

Also, we have .

Thus,and are consecutive interior angles.

Therefore,

From equation (i), we get:

Hence, the required value for is .

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Q. In Fig., if l || m, n || p and ∠1 = 85°, find ∠2.

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MATHEMATICS

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Transversal of Parallel Lines

Standard VII Mathematics

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