Question

in rhombus tuvw, if the measure of angle tuw = 29°, find the measure of angle vwu. possible points: 1 90° 29° 122° 61° 58°

Explanation:

Step1: Recognize rhombus angle rules

In a rhombus, opposite angles are equal, and adjacent angles sum to $180^\circ$. The diagonal bisects the vertex angle, so $\angle TUW = \angle WUV = 29^\circ$, making $\angle TUV = 58^\circ$.

Step2: Calculate target angle

$\angle TWV = \angle TUV = 58^\circ$ (opposite angles in rhombus are equal). The question asks for $\angle WVU$, so use $180^\circ - 58^\circ = 122^\circ$.

Answer:

122° (Option: $\boldsymbol{\circ \ 122^\circ}$)