Question

explore the properties of angles formed by two intersecting chords. 1. the intersecting chords form vertical angles. if (mangle deb = 105^{circ}), then (mangle aec=square^{circ}). (mangle deb = 105^{circ})

Explanation:

Step1: Recall vertical - angle property

Vertical angles are congruent. $\angle DEB$ and $\angle AEC$ are vertical angles.

Step2: Determine angle measure

Since $\angle DEB$ and $\angle AEC$ are vertical angles and $m\angle DEB = 105^{\circ}$, then $m\angle AEC=m\angle DEB$.

Answer:

$105$