Question

4. In the given figure, l ll m. If s and t be transversals such that s is not
parallel to t, find the values of x and y.
​

Answer 1

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°Read more on Sarthaks.com - https://www.sarthaks.com/751757/in-the-given-figure-if-and-be-transversals-such-that-is-not-parallel-to-find-he-values-of-and

Answer 2

Answer:

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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°

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