Question

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

Explanation:

Step1: Recall rhombus angle properties

In a rhombus, adjacent angles are supplementary (sum to \(180^\circ\)), and the diagonals bisect the angles. First, find the adjacent angle to \(134^\circ\): \(180 - 134 = 46^\circ\).

Step2: Diagonal bisects the angle

The diagonal splits the \(46^\circ\) angle into two equal parts (since diagonals bisect angles in a rhombus). So, \(m\angle1=\frac{46}{2}=23^\circ\).

Answer:

\(23\)