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.
