Final answer:
The value of r is 15. Additional information is needed to find the measures of angles ABD and DBC.
Step-by-step explanation:
To find the value of r, we can use the given information:
2r = x + 15
r ÷ 15 = G re r = 15
By substituting the second equation into the first equation, we get:
2(15) = x + 15
30 = x + 15
Subtracting 15 from both sides:
30 - 15 = x
x = 15
Therefore, the value of r is 15.
For the second part of the question, we need more information about the angles and sides of the triangle LABC in order to determine the measures of angles ABD and DBC.