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Answer:
x = 9
Step-by-step explanation:
Triangle BCD is a right triangle, so the inscribed angle at C is the complement of the given angle:
angle C = 90° -45° = 45°
The measure of arc BE is twice that angle value, so we have ...
arc BE = 2·angle C
10x° = 2(45°)
x = 9 . . . . . . . . . divide by 10°