Question

What is m∠KNL?

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Answer 1

This is the answer! Hope I helped! Really helpful for k12 users! And sorry I am late! Have a nice day!

Explanation:

Answer 2

Opposite angles are equivalent. Therefore,

`5x + 2 = 3(x + 14) \\ 5x + 2 = 3x + 42 \\ 2x = 40 \\ x = 20`
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:

`3(x + 14) \\ 3x + 42 \\ 3(20) + 42 \\ 60 + 42 \\ = 102`
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:

`5x + 2 \\ 5(20) + 2 \\ 100 + 2 \\ = 102`
These angles are the same, as they should be.