![x=15](/tpl/images/0311/9184/54281.png)
,
![y=12](/tpl/images/0311/9184/bddb7.png)
; the pairs of angles are alternate interior angles, meaning that their degrees are equivalent. To find the value of
![x](/tpl/images/0311/9184/a0e3f.png)
and
![y](/tpl/images/0311/9184/9512c.png)
, you need to set the degrees as equal to the expressions.
![4x+2=62](/tpl/images/0311/9184/5ec31.png)
and
![12y=144](/tpl/images/0311/9184/84c5e.png)
. Then, solve for the variables by isolating
![x](/tpl/images/0311/9184/a0e3f.png)
and
![y](/tpl/images/0311/9184/9512c.png)
on each side.
![144](/tpl/images/0311/9184/8c244.png)
÷
![12 = y](/tpl/images/0311/9184/72570.png)
, which means
![12=y](/tpl/images/0311/9184/d8c90.png)
, and
![62-2=60](/tpl/images/0311/9184/b9052.png)
,
![60](/tpl/images/0311/9184/22b1b.png)
÷
![4=15](/tpl/images/0311/9184/ff2dc.png)
and therefore,
![15=x](/tpl/images/0311/9184/5ef27.png)
.