Question

in the given figure l parallel to m and t be transversals such that s is not parallel to t. find the value of x and y​

Answer 1

Answer:

x =130° and y = 115°

Step-by-step explanation:

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°

Answer 2

Answer:

x=65' (alternative interior angle)

y=65' (opposite angle of a parallelogram)

st and lm makes a parallelogram according to theorem if there is two side paralle then it will make a parallelogram. .