Answer:
Answer is ...Obtuse
Step-by-step explanation:
[tex] \frac{m<ABC}{2} = m< CBD[/tex]
[tex] \frac{5x + 4}{2} = \frac{3}{2} x + 21[/tex]
[tex] \frac{5x + 4}{2} = \frac{3x + 42}{2} [/tex]
[tex]5x + 4 = 3x + 42[/tex]
[tex]5x - 3x = 42 - 4[/tex]
[tex]2x = 38[/tex]
[tex]x = 19[/tex]
[tex]substituting \: x = 19 \: \:in \: \: \: \: \: \: \: \\ m<ABC =\: \: 5x + 4, [/tex]
We get,
m<ABC =
[tex](5 \times 19) + 4 = 99[/tex]
Hence <ABC is obtuse
