Question

Helpp

Answer 1

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