Answer:
x = 22
y = 35
Step-by-step explanation:
Because its an isosceles triangle, you know the base angles are equal so:

Solving:
subtract 2x from both sides

add 11 to both sides

Next, find the angle measures of the two base angles:

To find y, you know that the interior angles of the whole triangle add up to 180, so you have

solving,

subtract 110 from both sides

divide both sides by 2

Answer:
x=76 degrees
Step-by-step explanation:
< dij + < jih = 180 straight line
< dij + 107 = 180
subtract 107 from each side
< dij = 73
<jdi + < dij + <idj = 180 triangle
31 + 73 + < idj = 180
combine like terms
104+ < idj = 180
subtract 104 from each side
< idj = 76
<idj = < ajf vertical angles
76 < ajf
<ajf = x
x=76 degrees