Question

Abcd is a parallelogram. if m angle dab=115 then what does m angle bcd equal

Answer 1

In a parallelogram, opposite angles are congruent. Since m° angle DAB is 115°, the m° angle BCD also equals 115° because they are opposite angles in the parallelogram ABCD.

Step-by-step explanation:

In a parallelogram, opposite angles are congruent (they have the same measure). Given that m° angle DAB = 115°, we can determine that m° angle BCD will also be 115° because they are opposite angles. The angles DAB and BCD are opposite to each other in parallelogram ABCD.

To visualize this: Since ABCD is a parallelogram, AD is parallel to BC, and AB is parallel to CD. This means that ∠DAB and ∠BCD are interior angles on the same side of the transversal AB, making them supplementary in addition to being equal. However, because they are also opposite angles, they must be of equal measure. Thus, m° angle BCD = 115°.

Answer 2

I drew a picture, and unfortunately there isn't a way to upload it, so I'll just have to explain it to you.
DAB and BCD are opposite angles on a parallelogram, which makes that they are alternate interior angles when looking at it from a perspective of 2 parallel intersected lines. This means that DAB will have the same value as BCD, therefore BCD = 115 degrees