Answer:
x = 73
y = 38
Explanation:
In an isosceles trapezoid, the angle and side relationships are
Therefore, we see that the angle y = 38 and to find x we need to do some arithematic.
[tex]x+31+A=180[/tex]where A is the middle angle that forms a triangle with x and 31.
Now,
[tex]\begin{gathered} 38+y+G=180 \\ 38+38+G=180 \\ G=104 \end{gathered}[/tex]And
[tex]A+G=180\text{ (supplementary angles)}[/tex][tex]A+104=180[/tex][tex]A=76[/tex]therefore,
[tex]\begin{gathered} x+31+A=180 \\ x+31+76=180 \\ x=73 \end{gathered}[/tex]Hence, to conclude,
x = 73 and y = 38.
