In the given figure, l ∥ m, if s and t be transversals such that s i

1.	In the given figure, l ∥ m, if s and t be transversals such that s is not parallel to t, find he values of x and y.
Answer» Two parallel lines l and m be cut by a transversal lines s and t, forming angles. From the figure, we have, ∠1 = ∠3 = 50° … [∵Corresponding angles] And, ∠1 + x = 180° … [∵linear pair] = x°=180° – 50 = x° = 130° Now, ∠2 = ∠4 = 65° … [∵Corresponding angles] And, ∠2 + y = 180° … [∵linear pair] = 65 + y = 180° = y = 180 – 65 = y = 115° ∴The value of x =130° and y = 115°

In the given figure, l ∥ m, if s and t be transversals such that s is not parallel to t, find he values of x and y.

Answer»

Two parallel lines l and m be cut by a transversal lines s and t, forming angles.

From the figure, we have,

∠1 = ∠3 = 50° … [∵Corresponding angles]

And,

∠1 + x = 180° … [∵linear pair]

= x°=180° – 50

= x° = 130°

Now,

∠2 = ∠4 = 65° … [∵Corresponding angles]

And,

∠2 + y = 180° … [∵linear pair]

= 65 + y = 180°

= y = 180 – 65

= y = 115°

∴The value of x =130° and y = 115°