Answer:
Therefore, x = 8
Step-by-step explanation:
Given: see the figure
∠ abd = 4x - 30
∠ cbd = x - 6
line bd bisects ∠ abc
i.e ∠ abd = ∠ cbd ........... Definition of Angle bisector.
To Find:
x = ?
Solution:
line bd bisects ∠ abc
i.e ∠ abd = ∠ cbd ........... Definition of Angle bisector.
On substituting the values we get
[tex]4x-30=x-6\\\\4x-x=30-6\\\\3x=24\\\\x=\frac{24}{3} \\\\x=8[/tex]
Therefore, x = 8
