Answer:
x= 18 degrees and y=54 degrees
Step-by-step explanation:
Look at the top of the line AB. You can see that
3x+y+72=180
Now, look at the left side of the line CD. You can see that
y+90+2x=180
Hence, you have 2 equations in 2 unknows, which are possible to solve.
In resume, the 2 equations are:
3x+y+72=180
2x+y+90=180
By substracting the second equation to the first one, it yields
x-18=0
which implies x=18.
Now, we can susbstitute this value on the fist equation:
3(18)+y+72=180
54+y+72=180
y+126=180
y=180-126
y=54
We can corroborate these result in the second equation:
2(18)+54+90=
36+54+90=
90+90=
180.
Thats right !!
