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If a transversal intersects two parallel lines and the difference of two interior angles on the same side of a transversal is 20°, find the angles.

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Let the two interior angles on the same side of transversal are x and y.

Given, their difference is 20°.

x -y = 20°

y = x - 20°

Since, l and m are parallel and P is transversal.

Therefore, the angles are 100° and 80°, respectively.

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