Angle ABC is a right angle. Write and solve an equation to determine the value of the variable, x. Then determine the measures of ∠ABD and ∠DBC. SHOW ALL WORK *

Answer:
3(x+8) + 2x -4
3x +24+ 2x -4
3x+2x+24-4
5x+20
5x +20=90
5x=90-20
5x=70
5x/5= 70/5
x=14
<ABD= 66°
3(14+8)
3× 22
=66
<DBC= 24°
2(14)-4
2×14-4
28-4
=24