addison5022
07.04.2020 •
Mathematics
Explore the properties of angles formed by two intersecting chords.
1. The intersecting chords form vertical angles. If m<DEB = 105°,
then m<AEC = ____
m<DEB = 105°
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Ответ:
Given:
The intersecting chords forms vertical angle.
m∠DEB = 105°
To find:
m∠AEC
Solution:
The intersecting chords forms vertical angle.
By vertical angle theorem:
Vertically opposite angles are congruent.
⇒ m∠AEC = m∠DEB
⇒ m∠AEC = 105°
The measure of angle AEC is 105°.
Ответ: