Seudónimo Seudónimo
  • 06-11-2017
  • Mathematics
contestada

Find the value of x. Given: RS=ST, m∠RST=7x-54, m∠STU=8x
 S
 Δ_U
RT
a.14
b.152
c.16
d.19

Respuesta :

shinmin
shinmin shinmin
  • 17-11-2017

Given:

∠STU = 8x 
∠RST = (7x – 54) 

Solution:
∠SRT + ∠RST = 8x (exterior angle is sum of interior angles) 
∠SRT + (7x – 54) = 8x 
∠SRT = 8x – (7x – 54) 
= x + 54 


∠STR + ∠STU = 180 is the linear pair 


x + 54 + 8x = 180 


9x = 126 


x = 14 

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