Respuesta :
Answer:
A
Step-by-step explanation:
Subustion works because we already know two things are congruent so we just "substitute the angles into for the variables.
We know Angle A equal Angle B so we can replace angle A into m of Angle B and set it equal to Angle B variables.
We dont do know algebra operation to solve for the variable so we B and C aren't the option.
We already know two things are equal so we dont need to use transitive.
The reason that best supports statement 5 in the given proof is option A. Substitution.
What is Substitution:
The process of substituting an algebraic letter for its value is known as substitution.
Take the equation 8 - 4x as an example. Depending on what number x is, this can take a wide range of values. For example, if we are told x = 3 then we can substitute 3 in place of x.
Multiplication property of equality:
Let's take an example,
x ÷ 2 = (5x - 54)
x ÷ 2 × 2 = 2 × (5x - 54)
x = 10x - 108
then by multiplication property of equality, we can multiply 2 on both sides and rewrite the equation,
x = 10x - 108
Addition property of equality:
Let's take another example,
x - 2 = 2
then by addition property of equality, we can add 2 on both sides and rewrite the equation,
x - 2 + 2 = 2 + 2
x = 4
Transitive property:
In math, if A=B and B=C, then A=C
For example, if A is 5 then by the transitive property we can conclude that B and C are also equal to 5.
What is congruency?
Two geometric figures are said to be congruent or to be in a congruence relation if they can be superposed on top of each other and remain the same throughout.
In the given question -
- The first reason is given in the question itself.
- The second reason is given by congruency.
- The third reason is again given in the question.
- The fourth reason is also given.
Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.
Therefore, the reason that best supports statement 5 in the given proof is Substitution.
Know more about Substitution here - brainly.com/question/22340165
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