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Sagot :

MrRoyal

Each step of the proof are:

  • a || b
  • ∠1 ≅ ∠5
  • ∠1 ≅ ∠5
  • ∠5 ≅ ∠7
  • ∠5 ≅ ∠7
  • ∠1 ≅ ∠7
  • ∠1 ≅ ∠7

How to complete the proof?

The given parameter is:

Lines a and b are parallel.

This is represented as; a || b

Corresponding angles are equal.

∠1 and ∠5 are corresponding angles.

So, we have: ∠1 ≅ ∠5

Also, they are congruent.

So, we have ∠1 ≅ ∠5

Vertical angles are equal.

∠5 and ∠7 are vertical  angles.

So, we have: ∠5 ≅ ∠7

Also, they are congruent.

So, we have ∠5 ≅ ∠7

According to the transitive property;

If ∠1 ≅ ∠5 and ∠5 ≅ ∠7, then ∠1 ≅ ∠7

Hence, it has been proved that ∠1 ≅ ∠7

Read more about congruent angles at:

https://brainly.com/question/1675117

#SPJ1

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