Answer:
m∠ABD = 24°
m∠CBD = 24°
m∠ABC = 48°
Step-by-step explanation:
m∠ABD: (3x + 6)°
m∠CBD: (7x - 18)°
- m∠ABD and m∠CBD are equivalent since BD bisects them
(3x + 6)° = (7x - 18)°
x = 6
- Plug in 6 for x in the equations
(3x + 6)° = 24
(7x - 18)° = 24
24 + 24 = 48
m∠ABC = 48°