Question

Value of each variable

Answer 1

m =
`(52)/(3)`

Explanation:

Since the line segment is an angle bisector then the following ratios are equal

`(m)/(26)` =
`(8)/(12)` ( cross- multiply )

12m = 208 ( divide both sides by 12 )

m =
`(208)/(12)` =
`(52)/(3)` = 16
`(2)/(3)`