(a) In the figure below, [tex]m \overline{AB} = 54^\circ[/tex] and [tex]m \overline{CD} = 66^\circ[/tex]. Find [tex]m \angle AEB[/tex].

\[
A \quad B \quad E \quad C \quad D
\]

[tex]m \angle AEB =[/tex]

Question

10-10-2024
Mathematics

College

Thank you for visiting a In the figure below tex m overline AB 54 circ tex and tex m overline CD 66 circ tex Find tex m angle AEB. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

(a) In the figure below, [tex]m \overline{AB} = 54^\circ[/tex] and [tex]m \overline{CD} = 66^\circ[/tex]. Find [tex]m \angle AEB[/tex].

\[
A \quad B \quad E \quad C \quad D
\]

[tex]m \angle AEB =[/tex]

Answer :

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oeerivona oeerivona · Answer 1 · 2024-08-27T04:56:10-04:00

The measure of the angle m∠AEB, found using the angle of intersecting secant theorem, where the measure of the arcs intercepted by the secants are m[tex]\widehat{AB}[/tex] = 54°, and m[tex]\widehat{CD}[/tex] = 66° is; m∠AEB = 6°

What is the angle of intersecting secant theorem?

The angle of intersecting secant theorem states that the measure of the angle formed by the intersection of two secant is half the positive difference of the arcs intercepted by the secants.

Please find attached the possible drawing in the question, obtained based on the specified parameters and on similar questions on the internet, created with MS Word.

The parameters indicates that we get;

m[tex]\widehat{AB}[/tex] = 54°

m[tex]\widehat{CD}[/tex] = 66°

The angle of intersecting secants theorem indicates that we get;

m∠AEB = (1/2) × (m[tex]\widehat{CD}[/tex] - m[tex]\widehat{AB}[/tex])

Therefore;

m∠AEB = (1/2) × (66° - 54°) = 6°

m∠AEB = 6°

Learn more on circle theorems here: https://brainly.com/question/28699728

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(a) In the figure below, [tex]m \overline{AB} = 54^\circ[/tex] and [tex]m \overline{CD} = 66^\circ[/tex]. Find [tex]m \angle AEB[/tex].\[A \quad B \quad E \quad C \quad D\][tex]m \angle AEB =[/tex]

Answer :

What is the angle of intersecting secant theorem?

Other Questions

(a) In the figure below, [tex]m \overline{AB} = 54^\circ[/tex] and [tex]m \overline{CD} = 66^\circ[/tex]. Find [tex]m \angle AEB[/tex].

\[
A \quad B \quad E \quad C \quad D
\]

[tex]m \angle AEB =[/tex]