Answer:
m = [tex]\frac{52}{3}[/tex]
Step-by-step explanation:
Since the line segment is an angle bisector then the following ratios are equal
[tex]\frac{m}{26}[/tex] = [tex]\frac{8}{12}[/tex] ( cross- multiply )
12m = 208 ( divide both sides by 12 )
m = [tex]\frac{208}{12}[/tex] = [tex]\frac{52}{3}[/tex] = 16 [tex]\frac{2}{3}[/tex]
