Question

find the measure of the numbered angles in each rhombus.
m∠1 = \\(\square\\)°

Explanation:

Step1: Note rhombus properties

Opposite angles equal; diagonals bisect angles.

Step2: Find angle adjacent to 114°

Adjacent angles sum to 180°: $180^\circ - 114^\circ = 66^\circ$.

Step3: Diagonal bisects the angle

$\angle1 = \frac{66^\circ}{2} = 33^\circ$.

Answer:

33