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

MCQ

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

• 80°

• 85°

• 90°

• 95°

#### 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