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

MCQ

In the given figure, if lines l and m are parallel, then x =

Options

  • 20°

  • 45°

  • 65°

  • 85°

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Solution

The given figure is as follows:

Since, l || m. Thus, 65° angle and ∠1 are corresponding angles.

Therefore,

∠1= 65° (i)

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

In ΔAOB:

∠1 = x +20°

 x = ∠1 - 20°

From equation (i):

x = 65° - 20°

 x = 45°

  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 20 | Page 55
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