Question

ng angles formed by two chords
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 = 105^circ ).

1. find the sum of the angle measures:

( mangle deb + mangle aec = square^circ )
( mangle deb = 105^circ )
( mangle aec = 105^circ )

Explanation:

Step1: Identify given angles

We know \( m\angle DEB = 105^\circ \) and \( m\angle AEC = 105^\circ \) from the problem.

Step2: Sum the angle measures

To find \( m\angle DEB + m\angle AEC \), we substitute the given values: \( 105^\circ + 105^\circ = 210^\circ \).

Answer:

\( 210 \)