हिंदी

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

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प्रश्न

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

विकल्प

  • 105°

  • 65°

  • 40°

  • 25°

MCQ

उत्तर

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°  

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अध्याय 10: Lines and Angles - Exercise 10.6 [पृष्ठ ५६]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 10 Lines and Angles
Exercise 10.6 | Q 23 | पृष्ठ ५६

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