Sure, let's calculate it together! In triangle ABD, we know that the sum of all angles is 180 degrees. Since mABD is given as 82 degrees, we can subtract that from 180 to find mABC. Let's do the math:
mABC = 180 - mABD
mABC = 180 - 82
mABC = 98 degrees
Now, to find mDBC, we can use the same logic:
mDBC = 180 - mABD
mDBC = 180 - 82
mDBC = 98 degrees
So, both mABC and mDBC are 98 degrees.