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In the Given Figure, If Lines L and M Are Parallel, Then the Value of X is - Mathematics

MCQ

In the given figure, if lines l and m are parallel, then the value of x is

Options

  • 35°

  • 55°

  • 65°

  • 75°

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Solution

The given figure is as follows with : l || m

Also, ∠1 and ∠2 form a linear pair. Thus,

∠1 +∠2 = 180°

It is given that ∠2 = 90°, substituting this value , we get :

∠1 + 90° = 180°

          ∠1 = 180° - 190°

           ∠1 = 90°      (i)

In a triangle, we know that, the exterior angle is equal to the sum of the interior opposite angle.

In ΔAOB:

x + ∠1 = 125°

 x = 125° - ∠1

From equation (i):

 x = 125° - 90°

 x = 35°

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Q 24 | Page 56
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