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johnthienann58
25.03.2021 •
Mathematics
10 cm side with vertices ABC
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Ответ:
1.A straight line measures 180 degrees
2.Alternate interior angles theorem
Step-by-step explanation:
We have to prove that
Sum of interior angles of any triangle =180 degrees
Proof:
1.![m\angle 1+m\angle 4+m\angle 5=180^{\circ}](/tpl/images/0025/2535/7a733.png)
Reason: A straight line measures 180 degrees
2.![\angle 4\cong\angle 2](/tpl/images/0025/2535/d5320.png)
Reason:Alternate interior angles theorem
3.![m\angle 4=m\angle 2,m\angle 3=m\angle 5](/tpl/images/0025/2535/5b126.png)
Reason: by definition of congruent angles.
4.![m\angle 1+m\angle 1+m\angle 3=180^{\circ}](/tpl/images/0025/2535/eb316.png)
Reason: By substitution
Hence, proved.