Respuesta :

Cathrynwu

Answer:

x = 30

Step-by-step explanation:

So we're going to start by finding the other angles of the triangle which x is part of. So we know that a line adds up to 180 degrees. So we can find the angle that's close to N. If you know which one I'm talking about.

105 + 45 = 150. So then we can subtract 150 from 180

180 - 150 = 30

And for the angle at angle L, it's also 90 degrees.

So we know that the angles that add up so far are 120.

Now we'll make an equation:

2x + 120 = 180

Because all angles of a triangle add up to 180

So we subtract 120 from both sides

2x = 60

Now we divide 2 form both sides.

x = 30

So, x = 30

Hey there!

The answer is 30 degrees.

First, we will start by figuring out the other angle, N:

We can do this by making an equation. We know that angles connected by a straight line form a total of 180 degrees, and the line OK is a straight line, and the angles on it are 105, 45, and N. To solve for N, we make the equation:

180 = 105 + 45 + n

180 = 150 + n

30 = n

Now, we know that the missing angle N is 30. Also, we know that the angles in a triangle add up to 180, and we have all the angles in the left triangle except "2x", so we solve for it by making the equation:

180 = 30 + 90 + 2x

180 = 120 + 2x

60 = 2x

30 = x

HOPE IT HELPS AND HAVE A GREAT DAY!

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