+30 Angle bisectors AX and BY of triangle ABC meet at a point I. Find angle C in degrees, if angle AIB is 106 degrees. (Diagram: https://ibb.co/JK7Mzxp)
+2666 Let \(\angle IAB = x\) and \(\angle IBA = y\)
We know that \(x + y + 106 = 180\), meaning \(x + y = 74\)
We also know that \(\angle C = 180 - 2x - 2y = 180 - 2(x+y)\)
So, \(\angle C = 180 - 2 \times 74 = \color{brown}\boxed{32}\)
