Question

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Answer 1

The angles below AB will add to 180°.
.. x +2x +x +3x = 180°
.. 7x = 180°
.. x = 180°/7 ≈ 25.71°

Vertical angles AOC and BOD are equal, so
.. 2y = 3x
.. y = (3/2)*x = (3/2)*25.71° = 38.6° . . . . . . . . corresponding to selection D.

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There is an "x" missing next to segment OC. "2" should be "2x".

Answer 2

Notice that 2y and 3x are vertical angles, which means they are equal.
2y=3x

the four angles below the line AB make a sum of 180
 3x+x+2x+x=180
7x=180
x=180/7

2y=3x=3*180/7=540/7
y=270/7≈38.6
d is the answer.