Final answer:
To prove that triangle EQL is equiangular, we can use a two-column proof, where we show the given information and use congruence and angle properties to prove that all angles in triangle EQL are congruent.
Step-by-step explanation:
To prove that triangle EQL is equiangular, we can use a two-column proof. In the first column, we will list the statements or reasons, and in the second column, we will write the corresponding justifications or proofs.
Statement
Reason
EQ = EL
Given
∠EQL = ∠EQE
Vertical angles are congruent
∠EQE = ∠ELQ
Vertical angles are congruent
∠ELQ = ∠EQL
Because all angles in a triangle are congruent
Therefore, triangle EQL is equiangular.