paulina765x
paulina765x paulina765x
  • 22-10-2021
  • Mathematics
contestada

Find values of x and y.
(x +12)/yº
114

Find values of x and y x 12yº 114 class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-10-2021

9514 1404 393

Answer:

  x = 54

  y = 114

Step-by-step explanation:

The angle marked y° corresponds to the one marked 114°. Corresponding angles in this geometry are congruent, so ...

  y = 114

__

The angle marked (x+12)° and the one marked y° form a linear pair, so are supplementary:

  (x +12)° +114° = 180°

  x +126 = 180 . . . . . . . . divide by °, collect terms

  x = 54 . . . . . . . . . . . . subtract 126

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