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Answer:

ABD=90

DBC=63

Step-by-step 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

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