Answer:
ABD=90
DBC=63
Explanation:
set up the equation to find x:
abd+dbc=abc
(5x+5)+(3x+12)=153
calculate equation:
Step 1: Simplify both sides of the equation.
5x+5+3x+12=153
(5x+3x)+(5+12)=153(Combine Like Terms)
8x+17=153
8x+17=153
Step 2: Subtract 17 from both sides.
8x+17−17=153−17
8x=136
Step 3: Divide both sides by 8.
8x /8 = 136 /8
x=17
now we have x, plug it into both angle equations.
ABD=5x+5
5(17)+5=90
DBC=3x+12
3(17)+12=63