Question

Solve for x
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Answer 1

The triangle AB and the sector O between B and D is 50° because 3 angles of triangle always end in total of 180°
Then the line BD is a straight angle ( Which means it is 180° too) so if the first angle was 50, then the other angle must be 130°
If the previous line was 130°, then the angle DOE must be 50° due to angle sum property.
According to all this, X is a 10° angle.