Geometry High School- Help

Thats the RIGTH Answer NOW. Right?
 
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I am surprised this went on so long! First I would have said that this figure is a parallelogram, not a trapezoid (though a parallelogram is a type of trapezoid). In a parallelogram adjacent angles are supplementary- they add to 180 degrees (that is NOT true in general trapezoids). We are told that angle BAC is 100 degrees so angle ACD is 180- 100= 80 degrees. We are also told that angle ACB is 30 degrees so angle DCB is 80- 30= 50 degrees.
 
HallsofIvy said:
I am surprised this went on so long! First I would have said that this figure is a parallelogram, not a trapezoid (though a parallelogram is a type of trapezoid). In a parallelogram adjacent angles are supplementary- they add to 180 degrees (that is NOT true in general trapezoids). We are told that angle BAC is 100 degrees so angle ACD is 180- 100= 80 degrees. We are also told that angle ACB is 30 degrees so angle DCB is 80- 30= 50 degrees.
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Thank you!
 
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