salvatoreelena6
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I need help sorry for bothering everyone.

Two supporting reasons are missing from the proof. Complete the proof by dragging and dropping the appropriate reasons into each of the empty boxes.

Given: m∥nm∠2=60°

Prove: m∠7=120

I need help sorry for bothering everyone Two supporting reasons are missing from the proof Complete the proof by dragging and dropping the appropriate reasons i class=

Respuesta :

mariechelswa525

Answer:

Look at the picture down below :)))

Step-by-step explanation:

I just took the test and I got the correct answers, hope this helps!

Ver imagen mariechelswa525

Step-by-step explanation:

We know that:

  • [tex]m\parallel n[/tex]
  • [tex]m\angle2=60\°[/tex]
  • [tex]m\angle1=m\angle3;m\angle2=m\angle4;m\angle5=m\angle7;m\angle6=m\angle8[/tex].; because they are opposite angles.
  • Also, [tex]m\angle3=m\angle5[/tex]; because they are alternate interior angles.
  • We can see that [tex]m\angle1+m\angle2=180[/tex]; because they are supplementary angles and they are on a straight angle.

So, based on those deductions:

[tex]m\angle1+m\angle2=180\\m\angle1+60=180\\m\angle1=180-60\\m\angle1=120[/tex]

Then,

[tex]m\angle1=m\angle3\\m\angle3=120=m\angle5=m\angle7[/tex]

All these angles are the same, because they are opposite (1 and 3), alternate interior (5 and 5), and opposite (5 and 7).

Therefore, [tex]m\angle7=120\°[/tex]

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