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Question 96

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


Solution

Let the two interior angles on the same side fo transversal are x and y Given, their difference is 20
xy=20     y=x20                              ....(i)
Since l and m are parallel and P is transversal.

Then, x+y=180              [Sum of an interior angle is 180]x+x20=180               [from Eq.(i)]2x=180+202x=200x=2002=100
Now, y=x20y=10020=80

Therefore, the angles are 100  and 80 ,  respectively.

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