Question

quadrilateral qrst is a rhombus. what is $m\angle rsu$?
$m\angle rsu = \square ^\circ$

Explanation:

Step1: Recall rhombus diagonal properties

Diagonals of a rhombus bisect opposite angles, and opposite angles are equal. Also, $m\angle STU = 29^\circ$, so $m\angle SRQ = 29^\circ$ (opposite angles of rhombus are congruent).

Step2: Bisect the angle with diagonal

Diagonal $SU$ bisects $\angle SRQ$. Calculate $\angle RSU$:
$\angle RSU = \frac{1}{2}m\angle SRQ$
$\angle RSU = \frac{1}{2} \times 29^\circ$

Answer:

$14.5^\circ$