Question

1. find m∠edz if m∠zdc = 56° and m∠edc = 170°.

Explanation:

Step1: Identify angle relationship

We know that \( m\angle EDC = m\angle EDZ + m\angle ZDC \) (angle addition postulate).

Step2: Solve for \( m\angle EDZ \)

Rearrange the formula: \( m\angle EDZ = m\angle EDC - m\angle ZDC \).
Substitute the given values: \( m\angle EDC = 170^\circ \), \( m\angle ZDC = 56^\circ \).
So, \( m\angle EDZ = 170^\circ - 56^\circ = 114^\circ \).

Answer:

\( 114^\circ \)