Prove AED is equal to DEB. Do not use vertical angle theorem

Mathematics

1 answer:

Nastasia [14]2 years ago

6 0

Answer:

Step-by-step explanation:

From the figure attached,

Given:

Lines AB and CD are intersecting each other at a point E.

To prove:

∠ACB ≅ ∠DEB

Statements Reasons

1). ∠AEC + ∠BEC = 180° 1). Linear pair theorem

2). ∠DEB + ∠BEC = 180° 2). Linear pair theorem

3). ∠AEC + ∠BEC = ∠DEB + ∠BEC 3). Transitive property of equality

4). ∠AEC = ∠DEB 4). Subtraction property of equality

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Simplify expressions

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<h2> $- \frac{2}{5} \times \frac{4}{3}$ </h2><h3>■Multiply the fractions</h3>

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