Question

find the measure of the numbered angles in each rhombus. m∠1=□°

Explanation:

Step1: Find adjacent rhombus angle

Adjacent angles in a rhombus are supplementary.
$m = 180^\circ - 114^\circ = 66^\circ$

Step2: Split angle for $\angle1$

Diagonals bisect rhombus angles.
$m\angle1 = \frac{66^\circ}{2} = 33^\circ$

Answer:

$33$