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In the Given Figure, If L1 || L2, What is the Value of X? - Mathematics

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MCQ

In the given figure, if l1 || l2, what is the value of x?

Options

  • 80°

  • 85°

  • 90°

  • 95°

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Solution

In the given figure:

Since, l1 || l2therefore, the pair of corresponding angles should be equal.

That is;

∠1 = 37°

Also, 

\[\angle1\text {  and } \angle2\] are vertically opposite angles, therefore,

∠2 = ∠1

∠2 = 37°

Since 58°, ∠2 and x form a linear pair. Therefore,

58 +∠2 + x = 180°

58° + 37° | x = 180°

         95° + x = 180°

                    x = 180° - 95°

                     x = 85°

Concept: Pairs of Angles
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Q 14 | Page 53

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