Question

quadrilateral efgh is a rhombus. what is $m\angle ehi$?
$m\angle ehi = \square ^\circ$

Explanation:

Step1: Recall rhombus diagonal properties

Diagonals of a rhombus bisect interior angles, and they are perpendicular to each other, so $\angle EIH = 90^\circ$.

Step2: Use triangle angle sum theorem

In $\triangle EIH$, the sum of angles is $180^\circ$. We know $\angle HEI = 64^\circ$ and $\angle EIH = 90^\circ$. Calculate $\angle EHI$:
$\angle EHI = 180^\circ - 90^\circ - 64^\circ$

Step3: Compute the final angle

$\angle EHI = 26^\circ$

Answer:

$26$