9514 1404 393
Answer:
89
Explanation:
The arc intercepted by the inscribed 45° angle is twice that, 90°. The angle at x is half the sum of the intercepted arcs, so is ...
x = (90° +88°)/2
x = 89°
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Alternate solution
The inscribed angle intercepting the 88° arc will have half that measure, so is 44°. The triangle's exterior angle x will be equal to the sum of the remote interior angles:
x = 45° +44° = 89°