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zloy xaker [14]
3 years ago
5

I need help sorry for bothering everyone.

Mathematics
2 answers:
evablogger [386]3 years ago
6 0

Step-by-step explanation:

We know that:

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

So, based on those deductions:

m\angle1+m\angle2=180\\m\angle1+60=180\\m\angle1=180-60\\m\angle1=120

Then,

m\angle1=m\angle3\\m\angle3=120=m\angle5=m\angle7

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

Therefore, m\angle7=120\°

Paladinen [302]3 years ago
3 0

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!

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