celiwinter22
celiwinter22 celiwinter22
  • 24-06-2019
  • Mathematics
contestada

what is the value of x?

what is the value of x class=

Respuesta :

jimrgrant1 jimrgrant1
  • 24-06-2019

Answer:

x = 3

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠QRT is an exterior angle of the triangle

∠RTS and ∠RST are the 2 opposite interior angles, thus

45x = 25x + 57 + x

45x = 26x + 57 ( subtract 26x from both sides )

19x = 57 ( divide both sides by 19 )

x = 3

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