Answer:
x = 1°
Explanation:
You want to know the value of x given that (-x+46°) is the base angle of an isosceles triangle inscribed in a semicircle.
Right triangle
A triangle inscribed in a semicircle is a right triangle. (Arc IJ is 180°, and inscribed angle K is half that measure.) An isosceles right triangle has base angles that are each 45°:
-x +46° = 45°
1° = x . . . . . . . . . add x-45° to both sides
The value of x is 1°.