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