What is m∠knl? enter your answer in the box

Opposite angles are equivalent. Therefore,

First, we set the angles equal to each other. Then, we simplify the sides. Then, we subtract 3x from both sides and subtract 2 from both sides. The we divide both sides by 2. Now we know that x = 20, but we're not done yet.

Now we have to find the measure of the angle KNL. We do this by plugging in x:

First, we simplify. Then, we plug in 20 for x. Then we simplify to find the angle is 102°.

We can check this by looking at the opposite angle:

These angles are the same, as they should be.