Question

2) Corresponding angles are congruent L1 II L2 (2x + 20) (3x - 10)

Answer 1

Given angles are corresponding angles, they are congruent (have the same measure):

`(2x+20)=(3x-10)`

Use the equation above to solve x;

`\begin{gathered} 2x+20=3x-10 \\ \\ \text{Subtract 3x in both sides of the equation:} \\ 2x-3x+20=3x-3x-10 \\ -x+20=-10 \\ \\ \text{Subtract 20 in both sides of the equation:} \\ -x+20-20=-10-20 \\ -x=-30 \\ \\ \text{Multiply both sides of the equation by (-1):} \\ (-1)(-x)=(-1)(-30) \\ \\ x=30 \end{gathered}`

You use the value of x=30 to find the measure of corresponding angles:

`\begin{gathered} 2x+20 \\ 2(30)+20=80 \end{gathered}`Then, the meaure of the corresponding angles is 80°