Answer:
The value of k is 16, the angle of OLN and MNL is 72° .
Step-by-step explanation:
Given that alternate interior angles are the same. So we can assume that ∠OLN and ∠MNL have the same angle. In order to find k, we have to let ∠OLN = ∠MNL :
[tex]4k + 8 = 5k - 8[/tex]
[tex]5k - 4k = 8 + 8[/tex]
[tex]k = 16[/tex]
Next, we have to find the angle of OLN and MNL :
[tex]OLN = 4k + 8 = 4(16) + 8 = 72[/tex]
[tex]MNL = 5k - 8 = 5(16) - 8 = 72[/tex]
