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Tomtit [17]
4 years ago
13

Write a paragraph proof of the Triangle Angle Sum Theorem using the following figure. A line should pass through F as part of th

e proof. I really need help... this is confusing me and I don't understand it. 30 POINTS if the answer is correct... don't just answer it because of the points. I will delete the answer and you won't get the points. PLEASE HELP!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
BabaBlast [244]4 years ago
4 0

Answer:

Step-by-step explanation:

To prove the triangle angle sum theorem,

We will do a construction by drawing a line PQ passing through point F and parallel to line DE.

                Statements                              Reasons

1). ∠PFD + ∠QFD = 180°                     1). linear pair postulate

2). ∠QFD = ∠QFE + ∠EFD                 2). Angle addition postulate

3). ∠PFD + ∠QFE + ∠EFD = 180°       3). Substitution property

4). ∠PFD ≅ ∠FDE                               4). Alternate interior angles

    ∠QFE ≅ ∠DEF                                

5). ∠FDE + ∠DEF + ∠EFD = 180°       5). Substitution property

Hence sum of interior angles of ΔDEF is 180°.

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Bad White [126]
The formula for the quadratic formula is x (c in this case) = (-b(+/-)√(b²-4ac))/2a
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1.) Put it in the correct form, if not already in it.
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