The given diagram shows a line segment AC intercepted by segment D at point B.
This forms two angles ∠ABD and ∠CBD, both angles are a linear pair, which means that they are supplementary. So we know that:
[tex]\angle\text{ABD}+\angle\text{CBD}=180º[/tex]
If ∠ABD=(3x+10)º and ∠CBD=(2x)º, then their sum is
[tex](3x+10)º+(2x)º=180º[/tex]
From this expression, you can determine the value of x.
The correct answer is D.
