Answer:
m<ACD=113
Option B is the right option.
solution,
<A=2x-9
<B=4x+2
<ACD=5x+13
The exterior angle of a triangle is sum of two opposite interior angles.
m<A+m<B=m<5x+13
[tex]or \: 2x - 9 + 4x + 2 = 5x +13 \\ or \: 2x + 4x - 9 + 2 = 5x + 13 \\ or \: 6x - 7 = 5x + 13 \\ or \: 6x - 5x = 13 + 7 \\ x = 20[/tex]
Replacing value,
[tex]angle \: acd \\ = 5x + 13 \\ = 5 \times 20 + 13 \\ = 100 + 13 \\ = 113[/tex]
Hope this helps....
Good luck on your assignment..
