Answer:
x=85, y=45
Step-by-step explanation:
<u>X </u>
X and 95 are on a straight line. Therefore they are supplementary, or they add to 180 degrees. So,
x+95=180
Since we are solving for x, we must get x by itself. To do that, subtract 95 from both sides
x+95-95=180-95
x=85
So, x is equal to 85 degrees
<u>Y </u>
The angles in a triangle must add to 180 degrees, so
50+x+y=180
We know x is equal to 85, so we can substitute that in
50+85+y=180
135+y=180 <em>Combine like terms by adding 50 and 85 </em>
135-135 +y= 180-135 <em> Subtract 135 from both sides to isolate y </em>
y=45
So, y is equal to 45 degrees