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

Add the three angles together and set them equal to 180°
Plug each of the values for the angle measurements into the equation to solve for x
Plug 26° in for x to find the angle measurements

1. The Triangle Sum Theorem says that the three angles of a triangle always add up to 180°
2. So we can add all the angles together and set them equal to 180° to make an equation to solve for x
1. Angle ZYW measures 4x
2. Angle YWZ measures 2x
3. Angle YZW measures 24°
1. We can plug the values we found for each angle into the equation we made earlier
1. Add 4x and 2x to get 6x
2. Subtract 24 from both sides to get the x term by itself
3. Divide both sides by 6 to get x by itself
1. We need to plug 26° in for x in our original angle measurements to find our answers

Find the measures of all the angles in this triangle