wnbowers00 wnbowers00
  • 26-09-2021
  • Mathematics
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WILL GIVE BRAINLIEST
Find the value of x in each case:

WILL GIVE BRAINLIEST Find the value of x in each case class=
WILL GIVE BRAINLIEST Find the value of x in each case class=

Respuesta :

Trancescient
Trancescient Trancescient
  • 26-09-2021

Step-by-step explanation:

The sum of the interior angles of a triangle is 180:

[tex]\angle{EAB}+\angle{ABE}+\angle{AEB} = 180[/tex]

[tex]\Rightarrow 2x + (180 - 4x) + (180 - 6x) = 180[/tex]

[tex]\Rightarrow 180 - 8x = 0[/tex]

Solving for x,

[tex]x = 22.5[/tex]

The sum of the interior angles of a quadrilateral is 360:

[tex]\angle{DAB}+\angle{ADC}+\angle{DCB}+\angle{ABC}= 360[/tex]

[tex]\Rightarrow 2x+79+32+(360 - 5x) = 360[/tex]

[tex]\Rightarrow -3x + 111 = 0[/tex]

Solving for x,

[tex]x = 37[/tex]

Answer Link

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