Question

Please help i’ll give brainliest

Answer 1

Answer:

BD=141

Step-by-step explanation:

BD=2x+5

BD+12+27=180

BD+39=180

BD=141

Answer 2

Answer:

BD = 13

Step-by-step explanation:

AC is an angle bisector and divides the opposite into segments that are proportional to the other 2 sides, that is

$\frac{AB}{AD}$  = $\frac{BC}{DC}$ , substitute values

$\frac{12}{27}$ = $\frac{x}{x+5}$ ( cross- multiply )

27x = 12(x + 5)

27x = 12x + 60 ( subtract 12x from both sides )

15x = 60 ( divide both sides by 15 )

x = 4

Thus

BD = x + x + 5 = 2x + 5 = 2(4) + 5 = 8 + 5 = 13