Question

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

Options

• 80°

• 85°

• 90°

• 95°

Answer 1

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°