Answer: 88 degrees
===========================================
Step-by-step explanation:
Sides AC and AB are tangents to the circle, so 90 degree angles form at points C and B.
Angle O = 92
Angle B = 90
Angle C = 90
Angle A = unknown
----------
The four interior angles of any convex quadrilateral always add to 360 degrees
(angle O) + (angle A) + (angle B) + (angle C) = 360
92 + A + 90 + 90 = 360
A + 272 = 360
A+272-272 = 360-272
A = 88
-----------
A shortcut is to subtract angle O from 180
angle A = 180 - (angle O) = 180 - 92 = 88
we get the same answer