Question

Point D is in the interior of angle ABC

Answer 1

So first, we need to find the measure of x. Let's do that first.
1. You need to find the expression for angle DBC. We can't just have 36 degrees. We need the actual expression.
So, subtract 6x + 5 from 10x - 7. This will give us the expression we need.
→    (10x - 7) - (6x + 5) = 4x - 12
2. Have 36 and 4x - 12 equal each other. This will help us find the value of x.
→ 36 = 4x - 12    ⇒    x = 12    <Hopefully you know how I got that. If not, I solved it by adding 12 on both sides to isolate the variable to get 48 = 4x. Then, I divided both sides by 4 to get 12.>
3.  Now we know the value of x. Using the expression 6x + 5, substitute 12 for x. 
→ 6 (12) + 5    ⇒    72 + 5 = 77

Therefore, the measure of angle ABD is 77 degrees.