If mABD=75 degrees, what are mABC and mDBC?
DBC=(5x+5) ABC=(6x-7)
Since angles ABC and ABD are adjacent, they are supplementary. This means the sum of their measures is 180 degrees.
mABC + mABD = 180
mABC + 75 = 180
mABC = 180 - 75
mABC = 105
Since angles DBC and ABD are also adjacent, they are supplementary. Therefore:
mDBC + mABD = 180
mDBC + 75 = 180
mDBC = 180 - 75
mDBC = 105
So, mABC = 105 degrees and mDBC = 105 degrees.