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victus00 [196]
3 years ago
13

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

Mathematics
1 answer:
Sladkaya [172]3 years ago
3 0

Answer: 70°

<u>Step-by-step explanation:</u>

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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