The diagram shown below is not drawn to scale. If m∠CBA=2x+2, m∠DBC=42°, and m∠DBA=6x-24, then find the numerical value of m∠DBA
1 answer:
DBA = 6x - 24
DBC = 42
CBA = 2x + 2
DBA = ?
DBA = DBC + CBA
Substitution
6x - 24 = 42 + 2x + 2
Simplification
6x - 2x = 42 + 2 + 24
4x = 68
Solve for x
x = 68 / 4
x = 17
Find DBA
DBA = 6(17) -24
DBA = 102 - 24
DBA = 78°
RESULT DBA = 78°
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