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 $m\angle aec = \boxed{105}^\circ$.

1. find the sum of the angle measures:

$m\angle deb + m\angle aec = \boxed{\quad}^\circ$
$m\angle deb = 105^\circ$
$m\angle aec = 105^\circ$

Explanation:

Step1: Identify given angle values

$m\angle DEB = 105^\circ$, $m\angle AEC = 105^\circ$

Step2: Calculate the sum of angles

$m\angle DEB + m\angle AEC = 105^\circ + 105^\circ$

Answer:

210°