The missing statement and reasons are;
Statement 5; 12x + 20 = 11x + 23
Reason 2; Vertically opposite angles are equal
Reason 4; Transitive property of equality.
Reason 6; Subtraction Property of Equality.
We are given that;
∠BDA ≅ ∠A
We want to prove that; x = 3
Statement 1; ∠BDA ≅ ∠A
Reason; It is Given
Statement 2; ∠BDA ≅ ∠CDE; The statement means they are congruent and equal.
Reason; Vertically opposite angles are equal
Statement 3; ∠CDE ≅ ∠A; This means ∠CDA is congruent to ∠A.
Reason; Transitive property of congruence.
Statement 4; m∠CDE = m∠A. We saw that ∠BDA ≅ ∠A and ∠BDA ≅ ∠CDE. Thus, by transitive property of equality, we can say that; m∠CDE = m∠A.
Reason; Transitive property of equality.
Statement 5; 12x + 20 = 11x + 23
Reason is; Substitution property of equality
Statement 6; 12x = 11x + 3; In statement 5 above, what was done to get this statement 6 was to subtract 20 from both sides. This is known as subtraction property of equality.
Reason; Subtraction Property of Equality.
Read more at; brainly.com/question/25043995
