Question

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

Answer 1

Answer: 70°

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°