Answer
x=20
y=50
How I Did This
Any time there are two angles next to each other in a straight line, they are supplementary, meaning they add up to 180.
Also, all triangles' angles add up to 180.
<em>With this information, we can solve for x and y.</em>
<em>First we find the unknown side in the first triangle</em>
180=91-?
-91 -91
89=?
<em>Now we can solve for x.</em>
<u>Combine like terms</u>
71+89+x=180
<u>Subtract 160 from both sides</u>
160+x=180
-160 -160
x=20
<em>Now, we can solve for y.</em>
91+31+x=180
<u>Combine like terms.</u>
130+x=180
<u>Subtract 130 from both sides.</u>
130+x=180
-130 -130
x=50
Hope this helps! If you need more information, don't hesitate to ask!