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In the Given Figure, If L || M, Then X = - Mathematics

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MCQ

In the given figure, if l || m, then x =

Options

  • 105°

  • 65°

  • 40°

  • 25°

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Solution

The given figure:

Let us draw a line n parallel to l and m.

Thus, we can say that  l || m ||n.

Also, from the figure we get :

x = ∠1 + ∠2                ...(i)

Since. l || n

Thus, alternate interior opposite angles are equal. That is,

 ∠1 = 65°                    ...(ii)

Since m||n.

Thus, alternate interior opposite angles are equal. That is,

 ∠2 = 40°                 ...(iii)

On substituting, equation (ii) and (iii) in (i):

 x = 40°+65°

x = 105°  

Concept: Parallel Lines and a Transversal
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Q 23 | Page 56

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