Final answer:
The value of angle x in an isosceles right triangle with angles that are not right angles being the same size is 45 degrees.
Step-by-step explanation:
The student asked about the value of angle x in a triangle where the legs are the same size, which indicates an isosceles right triangle, as the angles that are not right angles are also the same size. Since a triangle's angles always add up to 180 degrees, and we know one angle is a right angle (90 degrees), the other two angles must also add up to 90 degrees. As these two angles are the same, being an isosceles triangle, each is half of 90 degrees, so each must be 45 degrees. Therefore, x = 45 degrees is the correct answer.