As we read the question, we sketched it out here on our yellow pad. We got
100 degrees for angle 'bec', but we have no confidence in that result, because
we're not at all sure that our sketch is the only possible one that fits the details
in the question.
We're pretty sure that this is another case where we really need to see the labeled
drawing described in the question before we can tease out any reliable answer.
never
55 degrees
none of these answers are correct
A = C = 180 - B = 80 So A + C = 160
67 degrees
280
never
160 degrees.
none of these are correct
55 degrees
In a parallelogram, opposite angles are equal, and adjacent angles are supplementary. Since angle BAD equals 55 degrees, angle ABC, which is adjacent to angle BAD, can be calculated as 180 - 55. Therefore, angle ABC equals 125 degrees.
Yes, a quadrilateral ABCD can be a parallelogram if angle D plus angle B equals 180 degrees. In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (their sum equals 180 degrees). Therefore, if angle D and angle B are supplementary, it is consistent with the properties of a parallelogram. Thus, the condition does not contradict the definition of a parallelogram.
32 degrees
none of these answers are correct
A = C = 180 - B = 80 So A + C = 160
The following answer is correct only if b is the measure of an angle in degrees. The complement is 90-43 = 47 degrees.
The measure of the intercepted arc is twice the measure of the tangent chord's angle. Therefore, if the measure of the tangent chord is 74 degrees, the measure of the intercepted arc would be 2 × 74 degrees, which equals 148 degrees.