ciara180
ciara180 ciara180
  • 13-08-2018
  • Mathematics
contestada

Find the value of x in the figures below. Please show all steps.

Find the value of x in the figures below Please show all steps class=
Find the value of x in the figures below Please show all steps class=

Respuesta :

WojtekR
WojtekR WojtekR
  • 13-08-2018

1. External angle:

[tex] 9x-5=\dfrac{1}{2}(158-64)\\\\\\9x-5=\dfrac{1}{2}\cdot94\\\\\\9x-5=47\\\\9x=47+5\\\\9x=52\qquad|:9\\\\\\\boxed{x=5\frac{7}{9}} [/tex]

2. Internal angle:

[tex] 5x-6=\dfrac{1}{2}(101+37)\\\\\\5x-6=\dfrac{1}{2}\cdot138\\\\\\5x-6=69\\\\5x=69+6\\\\5x=75\qquad|:5\\\\\boxed{x=15} [/tex]

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