Question

What is the measure of 2x?

Answer 1

Answer:

130 °

....................

Answer 2

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