Question

Solve for x *

04
45
O x = 50
Ox=8
x = 48.2
x = 40.5
20
S
18
R

Answer 1

x = 40.5

Explanation:

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

`(PS)/(RS)` =
`(PQ)/(RQ)` ( substitute values )

`(20)/(18)` =
`(45)/(x)` ( cross- multiply )

20x = 18 × 45 = 810 ( divide both sides by 20 )

x = 40.5