Question

find the measures of the numbered angles in the rhombus.
m∠1 = 64°
m∠2 = 90°
m∠3 = 26°
m∠4 = \square°

Explanation:

Step1: Use rhombus diagonal angle property

In a rhombus, diagonals bisect opposite angles, so $\angle 4 = 26^\circ$

Step2: Verify angle sum consistency

Check triangle angle sum: $64^\circ + 26^\circ + 90^\circ = 180^\circ$, which confirms the value.

Answer:

$\boldsymbol{26}$