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  • 15-04-2020
  • Mathematics
contestada

Find missing angle measures

Find missing angle measures class=

Respuesta :

jimrgrant1 jimrgrant1
  • 15-04-2020

Answer:

∠ 1 = 160°, ∠ 2 = 20°

Step-by-step explanation:

The 2 angles are adjacent and supplementary, thus

∠ 1 + ∠ 2 = 180°, substitute values

5x + x - 12 = 180, that is

6x - 12 = 180 ( add 12 to both sides )

6x = 192 ( divide both sides by 6 )

x = 32

Thus

∠ 1 = 5x = 5(32) = 160°

∠ 2 = x - 12  = 32 - 12 = 20°

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