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Soloha48 [4]
3 years ago
3

Explore the properties of angles formed by two intersecting chords.

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

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°.

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