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What is the missing reason in the proof? Statement Reason 1. m || n and p is a transversal 1. given 2. ∠2 ≅ ∠3 2. ver. ∠s theorem 3. m∠2 = m∠3 3. def. of congruent 4. ∠3 ≅ ∠7 4. corr. ∠s theorem 5. m∠3 = m∠7 5. def. of congruent 6. m∠2 = m∠7 6. ? corresponding angles theorem alternate interior angles theorem transitive property subtraction property

Respuesta :

Answer:

See below for answer.

Step-by-step explanation:

m ∠3 = m∠ 7       If ║ then cor. ∠s are =

m ∠2 = m∠7        Transitive     ∠2 = ∠3; ∠3 = ∠7; ∴∠2 = ∠7

The missing reason is : transitive property.

What is Transitive property?

A transitive relation is defined as a homogeneous relation R over the set A, where the set contains the elements such as x, y and z, such that R relates x to y and y to z, then R also relates x to z.

As in statement 3 we have,

∠2 = ∠3

and in statement 5 we also have

∠3 = ∠7

So, by using transitive property we can write,

If a = b and b = c,

then a = c

Hence, m∠2 = m∠7 using transitive property.

Learn more about transitive property here:

https://brainly.com/question/2437149

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