Question

In the given figure, transversal ‘t’ intersects two lines l and m respectively, for what value of ‘k’ is l || m?​

Answer 1

Answer:

k = 11

Step-by-step explanation:

So, 5k-12 = 3k+ 10 (Corresponding angles)

5k - 12    =      3k + 10

5k - 3k    =     10 + 12

2k           =     22

k             =     11

Checking:

5k-12 =  55-12 = 43

3k+10 = 33+10 = 43

Therefore, k = 11

Answer 2

Answer:

value of k is 11 and line l is parallel to line m

Step-by-step explanation:

5k - 12 = 3k + 10 (corresponding angles )

∴ 5k - 3k = 10 + 12

∴ 2k = 22

∴ k = $\frac{22}{2}$

∴ k = 11

value of 5k - 12 = 43

value of 3k + 10 = 43