quiaramyrick8 quiaramyrick8
  • 27-09-2018
  • Mathematics
contestada

What are the measures of angles QRS and STU ?

What are the measures of angles QRS and STU class=

Respuesta :

gmany
gmany gmany
  • 07-10-2018

Inscribed angles on the same intersecting arc are all equal.

Therefore we have the equation:

[tex]3x = x+8\qquad|-x\\\\2x=8\qquad|:2\\\\\boxed{x=4}\\\\m\angle QRS=3x\to m\angle QRS=(3\cdot4)^o=12^o\\\\m\angle STU=x+8\to m\angle STU=(4+8)^o=12^o[/tex]

Answer: C.

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