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 $m\angle aec = \square^\circ$.
$m\angle deb = 105^\circ$

Explanation:

Step1: Recall vertical angles property

Vertical angles are congruent (equal in measure).

Step2: Match vertical angle pair

$\angle DEB$ and $\angle AEC$ are vertical angles, so $m\angle AEC = m\angle DEB$.
<Expression>$m\angle AEC = 105^\circ$</Expression>

Answer:

$105$