Question

In circle Y, what is mzi?
6
25
31
37

Answer 1

Let's assume mzi is supposed to be m∠1.

Angle 1 and angle 2 are congruent, vertical angles. By the angle of intersecting chords theorem, each of them is the average of the two arcs,

m∠1 = m∠2 = (1/2)( 37° + 25° ) = 62° / 2 = 31°

Answer: 31°