darcellewis828
darcellewis828 darcellewis828
  • 18-06-2019
  • Mathematics
contestada

VWX and NOP are similar. If mV = 44° and mP = 66°, what is
mW?

Respuesta :

tramserran
tramserran tramserran
  • 18-06-2019

Answer: 70°

Step-by-step explanation:

ΔVWX ≅ ΔNOP     ⇒    ∠V=∠N, ∠W=∠O, and ∠X=∠P

Since ∠V=44° and ∠P=66°=∠X

then we can use the Triangle Sum Theorem:

∠V + ∠W + ∠X = 180°

44° + ∠W + 66° = 180°

        ∠W + 110° = 180°

        ∠W           = 70°

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