Answer:
[tex]x=67, y=121, z=65[/tex]
Step-by-step explanation:
One property of parallelogram is that opposite angles have the same measure, so we can write down:
[tex](y-9)=112\\y=121[/tex]
Another property is that two adjacent angles are supplementary (meaning that they add up to 180 degrees). Thus, the following equations are true:
[tex](z+3)+112=180\\(x+1)+112=180[/tex]
Solve the equations:
[tex](z+3)+112=180\\z+115=180\\z=65\\(x+1)+112=180\\x+113=180\\x=67[/tex]
To check, add up all 4 angles and check if they sum up to 360 degrees:
[tex]x=67, y=121, z=65\\(y-9)+(x+1)+(z+3)+112=360\\(121-9)+(67+1)+(65+3)+112=360\\112+68+68+112=360\\360=360[/tex]
And please ignore the fact that I cannot insert the degree sign :(
