First find an expression for an angle that forms linear pairs with 3x.
x=32
Practice makes perfect
To find the value of x, we have to relate the two angles somehow. To do that, we will first determine an expression for the angle that forms a linear pair with 3x. Linear pairs are supplementary so the other angle can be written as 180-3x.
Both angles are below the lines and to the right of the transversal. Therefore, the angles can be classified as corresponding angles. According to the Corresponding Angles Converse, if the angles are congruent, the lines are parallel. We can write the equation
180-3x=2x+20.
Let's solve this equation.
