• Brainly User

This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Two lines that intersect at the center of the circle formed two pairs of vertical angles.  By definition (Vertical Angle Theorem), vertical angles are congruent.

If the common vertex of these vertical angles is the center of the circle, therefore they are also central angles, and the arcs they intercept are congruent.