Given that triangles $vwx$ and $nop$ are similar, and that angle $mv$ is $44°$ and angle $mp$ is $66°$, what is the measure of angle $w$ in triangle $vwx$?

• A. $90°$
• B. $44°$
• C. $46°$
• D. $66°$

Answer: (A)

Verified step by step guidance

1. Recall that similar triangles have corresponding angles that are equal in measure.
2. Identify the corresponding angles between triangles VWX and NOP. Since angle \( \angle MV \) corresponds to \( \angle MP \), and their measures are given as 44° and 66° respectively, check if these are corresponding angles or if there is a labeling issue to clarify.
3. Use the fact that the sum of interior angles in any triangle is 180°. For triangle VWX, write the equation: \( \angle V + \angle W + \angle X = 180^\circ \).
4. Since \( \angle V = 44^\circ \) (given), and the corresponding angle to \( \angle W \) in triangle NOP is \( \angle O \) or \( \angle P \) (depending on labeling), use the similarity to find the measure of \( \angle W \) by matching it to the known angle in triangle NOP.
5. Calculate \( \angle W \) by subtracting the sum of the known angles from 180°, i.e., \( \angle W = 180^\circ - 44^\circ - \text{(measure of the other known angle)} \).