Answer:
[tex]y = 4[/tex]
Step-by-step explanation:
Given
[tex]ABD = 2y[/tex]
[tex]CBD = 5y - 12[/tex]
Required
Find y ---Missing part of the question
Since BD bisects ABC;
This implies that
[tex]ABD = CBD[/tex]
This is so because a bisector splits a segment into equal parts;
Substitute values for ABD and ABC
[tex]2y = 5y - 12[/tex]
Collect Like Terms
[tex]2y - 5y= - 12[/tex]
[tex]-3y = -12[/tex]
Divide both sides by -3
[tex]y = 4[/tex]
Hence;
The value of y is 4
