Given: ∠1 , ∠2 , ∠3 , and ∠4 formed by two intersecting segments. prove: ∠2 and ∠4 are congruent. (look at image down below)

Answer :

1.

2.Linear postulate

3.

4.Subtraction property of equality

Step-by-step explanation:

We are given that angle 1. angle 2, angle 3 and angle 4 formed by two intersecting segment.

We have to prove that angle 2 and angle 4 are congruent.

Proof:

Statement 1: and formed by two intersecting lines.

Reason: Given

Statement 2: and forms linear pair

Reason:By definition of linear pair

Statement 3: and forms linear pair

Reason: By definition of linear pair

Statement 4:

Reason: Linear pair postulate

Statement 5:

Reason: Linear pair postulate

Statement 6:

Reason: By substitution property of equlaity

Statement 7:

Reason: Subtraction property of equality

true

step-by-step explanation:

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in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol