The value of RS in the line segment is 20
To solve for RS :
From the line segment attached :
The information given is :
RS = 3x - 16
ST = 4x - 8
RT = 60
RT = RS + ST
60 = 3x - 16 + 4x - 8
60 = 7x - 24
60 + 24 = 7x
84 = 7x
Divide both sides by 7
84/7 = x
x = 12
RS = 3x - 16
RS = 3(12) - 16
RS = 36 - 16
RS = 20
HENCE, RS = 20
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