Respuesta :

Answer:

RQ = 18

Step-by-step explanation:

KR is an angle bisector and divides the opposite side into segments that are proportional to the other two sides, that is

[tex]\frac{KP}{KQ}[/tex] = [tex]\frac{PR}{RQ}[/tex] , substitute values

[tex]\frac{50}{45}[/tex] = [tex]\frac{38-x}{x}[/tex] ( cross- multiply )

45(38 - x) = 50x ← distribute left side

1710 - 45x = 50x ( add 45x to both sides )

1710 = 95x ( divide both sides by 95 )

18 = x

That is RQ = 18