Answer:
[tex]x=76^o[/tex]
[tex]y=104^o[/tex]
Step-by-step explanation:
we know that
[tex](y-28)=x[/tex] ---> equation A (by alternate interior angles)
we have that
[tex]x+y=180[/tex] ---> by supplementary angles (form a linear pair)
[tex]x=180-y[/tex] ----> equation B
substitute equation B in equation A
[tex](y-28)=180-y[/tex]
solve for y
[tex]y+y=180+28[/tex]
[tex]2y=208[/tex]
[tex]y=104^o[/tex]
Find the value of x
[tex]x=180-104[/tex]
[tex]x=76^o[/tex]
