Question

Geometry help quickly

Answer 1

RQ = 18

Explanation:

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

`(KP)/(KQ)` =
`(PR)/(RQ)` , substitute values

`(50)/(45)` =
`(38-x)/(x)` ( 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