Can anyone please explain how to solve this?

Question

anonymous · Answer

attachment

skullpatrol · Answer

Any ideas?

anonymous · Answer

Surely $\angle ABC=\angle ABD+\angle CBD$, right? Substitute in your expressions and solve for $x$.

skullpatrol · Answer

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anonymous · Answer

from the screenshot we have m(abd +cbd) = m(abc) =8x+5-3+2x = 62. 
or, x=6. So, answer is C.

anonymous · Answer

We have :
$$m(ABD)+m(DBC)=m(ABC)$$
So :
$$8x-3+2x+5=62$$
So :
$$10x+2=62$$
So :
$$10x=62-2=60$$
So :
$$x=\frac{60}{10}=6$$
So :
$$m(ABD)=2\times6+5=17\
m(DBC)=8\times6-3=45$$