Answer: 50 degrees
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Explanation:
There's a lot of filler and visual distraction going on here. We only need to focus on the points H, C and E. Also, we need to focus on the circle as well. The other stuff is stuff we can ignore.
We're told that angle HCE is 50 degrees. This is a central angle that subtends, or cuts off, arc HE. By definition of arc measures, arc HE is also 50 degrees.
There's not much else to this problem to be honest.
