Question

explore the properties of angles formed by two intersecting chords. 1. the intersecting chords form vertical angles. if $m\angle deb = 105^\circ$, then $m\angle aec = \square^\circ$. $m\angle deb = 105^\circ$ image of a circle with chords intersecting at e, points labeled d, a, b, c

Explanation:

Step1: Recall vertical angles property

Vertical angles are equal. So, if \( \angle DEB \) and \( \angle AEC \) are vertical angles, their measures are equal.

Step2: Apply the property

Given \( m\angle DEB = 105^\circ \), then by vertical angles property, \( m\angle AEC = m\angle DEB = 105^\circ \).

Answer:

\( 105 \)