the triangle given has angles:
46 degrees,
x
y
we are to find x and y
one thing we must kniw is thta the triangle is an isosceles triangle and angle on the same plane of an isosceles triangles are equal
so bearing the above statement in mind:
x = 46 degrees
recall that the some of angles in a triangle is equal to 180 degrees
so,
46 + x + y = 180
since x = 46
46 + 46 + y = 180
92 + y = 180
subtracting 92 from both sides
92 + y - 92 = 180 - 92
y = 88 degrees
Therefore,
x = 46 degrees
y = 88 degrees