How Do You Find Missing Angles in a Quadrilateral With Variables?

n stands for the number of sides, which is 4
To find the sum of the angles, subtract 2 from the number of sides and multiply by 180
Add all the angles together and set that equal to 360 to solve for x
Plug 32° in for x to find the measures of the angles

1. This polygon has 4 sides, so it is a quadrilateral
1. To find the sum of the angles, subtract 2 from the number of sides and multiply by 180
1. We know the sum of all the angles is 360°
2. So we can add all our angles together and set that equal to 360 to solve for x
1. Add 2x, 3x, and 4x to get 9x
2. Subtract 72° from both sides to get the x term by itself
3. Divide by 9 on both sides to get x by itself
1. We can plug 32° in for x into each of our angle measurements to get our answer

Find the measures of all the angles of the given figure: