In the figure below, QRST is a rhombus. QVS is a straight line.
$\angle TUV = 46^\circ$ and $\angle RQV = 20^\circ$ Find $\angle QVU$. Answer: ___ $^\circ$

1. Find $\angle UQV$ using the property of the diagonal of a rhombus.

In a rhombus, the diagonal bisects the interior angles. Since $QVS$ is the diagonal $QS$, we have:
$\angle UQV = \angle TQS = \angle RQS = 20^\circ$

2. Find $\angle QVU$ using the exterior angle of a triangle.

For $\triangle QUV$, the exterior angle at $U$ is $\angle TUV$. Therefore:
$\angle TUV = \angle UQV + \angle QVU$
$46^\circ = 20^\circ + \angle QVU$
$\angle QVU = 46^\circ - 20^\circ = 26^\circ$