Answer: Angle DBC = 72
Step-by-step explanation:
[tex]7q-46+3q+6=180 (Linear Pair)\\[/tex]
To Find q:
= [tex]7q+3q-46+6=180[/tex]
= [tex]10q-46+6=180[/tex]
= [tex]10q-40=180[/tex]
= [tex]10q=180+40[/tex]
= [tex]10q=220[/tex]
= [tex]q = \frac{220}{10}[/tex]
= q = 22
To Find Angle DBC:
Q= 22
[tex]3\cdot q+6[/tex]
[tex]3*22+6 = 72[/tex]
DBC = 72
