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 $m\angle aec = 105^\circ$. 2. find the sum of the angle measures: $m\angle deb + m\angle aec = \square ^\circ$

Explanation:

Step1: Identify given angle measures

We know that \( m\angle DEB = 105^\circ \) and \( m\angle AEC = 105^\circ \).

Step2: Add the two angle measures

To find the sum, we calculate \( 105^\circ + 105^\circ \).
\( 105 + 105 = 210 \)

Answer:

210