What is the measure of 2x?
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Hi! I'm happy to help!
To solve this, we need to first solve for x.
The total of all the interior angles in a quadrilateral (closed, not curved, shape with 4 sides) is 360°. So, we can single out the xs by subtracting the other angles.
360-89
271
271-76
195
Now that we know that, without the other two angles, the quadrilateral is worth 195. The only 2 angles left have x in them. Since there are 3 xs, we can use this to find out our x.
3x=195
Now, divide both sides by 3.
x=65
Now that we have the value of x, the measure of 2x will just be double that.
65×2
130
The measure of 2x is 130°
I hope this was helpful, keep learning! :D