Answer:
38°
Step-by-step explanation:
<ABD and <DBC are two interior angles that make up <ABC.
Based on the Angle Addition Theorem, the following equation can be used to find m<DBC:
[tex] (3x + 5) + (6x - 16) = 70 [/tex]
Find x
[tex] 3x + 5 + 6x - 16 = 70 [/tex]
[tex] 9x - 11 = 70 [/tex]
[tex] 9x = 70 + 11 [/tex]
[tex] 9x = 81 [/tex]
[tex]x = \frac{81}{9} [/tex]
[tex] x = 9 [/tex]
We are given that, m<DBC = (6x - 16)°
Plug in the value of x to find the measure
m<DBC = 6(9) - 16 = 54 - 16 = 38°
