Question 897511
angles abd and angles bdc are complementary
the measure of angle abd=(5x+1)
the measure of angle bdc=(3x-7) 
***

complementary angles add to 90˚
5x+1+3x-7=90
8x=96
x=12
angle abd=(5x+1)=61˚
angle bdc=(3x-7=29˚