Question

Triangle ABC is shown below:
Triangle ABC. Line passes through points D, B, and E
Given: ΔABC

Prove: All three angles of ΔABC add up to 180°.

The flowchart with missing reason proves the measures of the interior angles of ΔABC total 180°:
Top path, by Construction, line segment DE is parallel to line segment AC. By Alternate Interior Angles, angle EBC is congruent to angle BCA. By Substitution, the sum of the measures of angles BCA, CBA, and BAC equals 180 degrees. Next path, by Construction, line segment DE is parallel to line segment AC. By space labeled 1, angle DBA is congruent to

Answer 1

@flvsguy can you help? please

Answer 2

@mathmale can you please please please please help me!!!!

Answer 3

Hello, Love,
Looks as though there's a diagram for this problem: "Triangle ABC is shown below:" Mind posting it here?

Answer 4

sure sorry

Answer 5

there r da answers-
Which reason can be used to fill in the numbered blank space?

Alternate Exterior Angles Theorem

Same-Side Interior Angles

Corresponding Angles Postulate

Alternate Interior Angles Theorem

Answer 6

I think it would b a theorem but i just don't know which one....

Answer 7

My suggestion would be that you look up each of the Theorems and that Postulate listed here (that is, don't just rely on memory), and by doing that determine which one of them best answers the 2nd statement in your flow diagram.

Answer 8

mmm i did I'm not relying on memory I hv my notes in front of me but I can't seem 2 figure this one out @mathmale