Apair of perpendicular line segments intersecting at which point would be the diagonals of a square inscribed in the circle?

The point at which the two perpendicular line segments will intersect will be the center of the circle.

Step-by-step explanation:

The pair of perpendicular line segments which are the diagonals of the square inscribed in a circle will intersect each other at the center of the circle.

As we know that the diagonals of square bisect each other and also are perpendicular to each other.

Hence, the point of intersection is the center of the circle.

From the figure we could see that are the diagonals of the square inscribed in a circle.

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°