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Prove: [tex]\angle DCE[/tex] is congruent to [tex]\angle 4[/tex]

\begin{tabular}{|l|l|}
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\textbf{Statements} & \textbf{Reasons} \\
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[tex]\angle DCE = \angle 4[/tex] & Given \\
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\end{tabular}

Sagot :

GinnyAnsweridn
Certainly! To prove that angle [tex]\( \angle DCE \)[/tex] is congruent to angle [tex]\( \angle 4 \)[/tex], let’s go through a detailed, step-by-step solution.

Given:
[tex]\[ \angle DCE = A \][/tex]

Prove:
[tex]\[ \angle DCE \cong \angle 4 \][/tex]

Proof:
1. Statement 1: [tex]\( \angle DCE = 4 \)[/tex] [tex]\(\quad\)[/tex] (Given)

Reason: This is directly provided in the statement of the problem.

2. Statement 2: [tex]\( \angle DCE \cong \angle 4 \)[/tex]

Reason: If two angles are equal in measure, then they are congruent by definition of congruent angles.

Therefore, we have shown that [tex]\( \angle DCE \)[/tex] is congruent to [tex]\( \angle 4 \)[/tex], following the logical steps and utilizing the given information properly.

This completes the proof.
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