Question

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Answer 1

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 :

$4k + 8 = 5k - 8$

$5k - 4k = 8 + 8$

$k = 16$

Next, we have to find the angle of OLN and MNL :

$OLN = 4k + 8 = 4(16) + 8 = 72$

$MNL = 5k - 8 = 5(16) - 8 = 72$