anonymous
  • anonymous
Triangle ABC is shown. Given: ∆ABC Prove: All three angles of ∆ABC add up to 180°. The flow chart with missing reason proves the measures of the interior angles of ∆ABC total 180°. Which reason can be used to fill in the numbered blank space? Definition of Supplementary Angles Substitution Definition of Complementary Angles Angle Addition Postulate
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
ganeshie8
  • ganeshie8
look at the tail boxes of two arrows
anonymous
  • anonymous
Tail boxes?

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ganeshie8
  • ganeshie8
1 Attachment
anonymous
  • anonymous
Okay, I'm looking at the boxes @ganeshie8
ganeshie8
  • ganeshie8
what do u notice
anonymous
  • anonymous
They both have m
ganeshie8
  • ganeshie8
they're just replacing \(m\angle EBD\) with \(180\) eh ?
ganeshie8
  • ganeshie8
so thats just a "Substitution" !
anonymous
  • anonymous
Oh! So all they did was substitute 180 for m
ganeshie8
  • ganeshie8
yep !
anonymous
  • anonymous
Thank You! I have a couple more, I don't know if you're able to help me? @ganeshie8
ganeshie8
  • ganeshie8
sure post them il see if i can help :)
anonymous
  • anonymous
In ∆ABC, segment AB is congruent to segment BC . Given: AB ≅ BC Prove: The base angles of an isosceles triangle are congruent. The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent. Which statement can be used to fill in the numbered blank space? ∆DAB ≅ ∆DBC ∆ABD ≅ ∆ABC ∆ABC ≅ ∆CBD ∆ABD ≅ ∆CBD @ganeshie8
ganeshie8
  • ganeshie8
you have any ideas
anonymous
  • anonymous
@ganeshie8 not completely. This is all new to me, I've just begun to learn it today.
ganeshie8
  • ganeshie8
I see, this is simple though, try to follow me :)
anonymous
  • anonymous
Okay
ganeshie8
  • ganeshie8
4th row has a blank,
ganeshie8
  • ganeshie8
previous rows that we have established these :- \(BD \cong BD\) \(\angle ABD \cong \angle DBC\) \(AB \cong BC\)
ganeshie8
  • ganeshie8
Side Angle Side
ganeshie8
  • ganeshie8
that makes \(\triangle ABD \cong \triangle CBD\) by SAS postulate
anonymous
  • anonymous
Ah! Okay. I get it.
ganeshie8
  • ganeshie8
good :)

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