Answer:
x=7
m<ABD=37°
m<DBC=58°
Explanation:
Add the two equations. They need to equal 95. Solve for x.
(2x+23)+(9x-5)=95
11x+18=95
11x=95-18
11x=77
x=7
Substitute 7 in for x to both equations to solve for the angle degrees.
m<ABD=2x+23 = 2(7)+23 = 14+23 = 37
m<DBC=9x-5 = 9(7)-5 = 63-5 = 58
CHECK: 37+58=95