Question

in parallelogram wxyz, m∠w = 47°. what is m∠z? m∠z = o

Explanation:

Step1: Recall properties of parallelogram

In a parallelogram, consecutive angles are supplementary, meaning they add up to \(180^\circ\). Angles \( \angle W \) and \( \angle Z \) are consecutive angles in parallelogram \( WXYZ \).

Step2: Calculate \( m\angle Z \)

We know that \( m\angle W + m\angle Z = 180^\circ \) (consecutive angles of parallelogram are supplementary). Given \( m\angle W = 47^\circ \), we substitute this value into the equation:
\( 47^\circ + m\angle Z = 180^\circ \)
To find \( m\angle Z \), we solve for it:
\( m\angle Z = 180^\circ - 47^\circ \)
\( m\angle Z = 133^\circ \)

Answer:

\( 133 \)