Mathematics, 24.10.2020 06:30 maiacheerz

PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS 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 angle BAC. By Substitution, the sum of the measures of angles BCA, BCA, and BAC equals 180 degrees. Next path, by Construction, line segment DE is parallel to line segment AC. By Definition of a Straight Angle, the measure of angle EBD equals 180 degrees. By Substitution, the sum of the measures of angles EBC, CBA, and DBA equals 180 degrees. Bottom path, by Construction, line segment DE is parallel to line segment AC. By Angle Addition Postulate, the sum of the measures of angles EBC, CBA, and DBA equals the measure of angle EBD. By Substitution, the sum of the measures of angles EBC, CBA, and DBA equals 180 degrees.

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

Answers: 2

Show answers

Another question on Mathematics

Mathematics, 21.06.2019 14:50

Name the most appropriate metric unit for each measurement like the mass of cow

Answers: 2

Answer

Mathematics, 21.06.2019 16:00

Consider the reaction 2x2y2+z2⇌2x2y2z which has a rate law of rate= k[x2y2][z2] select a possible mechanism for the reaction.

Answers: 2

Answer

Mathematics, 21.06.2019 21:30

Your company withheld $4,463 from your paycheck for taxes. you received a $713 tax refund. select the best answer round to the nearest 100 to estimate how much you paid in taxes.

Answers: 2

Answer

Mathematics, 22.06.2019 00:00

Which of the following would be a correct step in proving that triangle abc is congruent to triangle cda? a. use a protractor to measure the angles and show that all the corresponding angles are equal in measure. this will allow you to prove congruence by aaa. b. show that segment ab is parallel to segment cd and segment ad is parallel to segment cb. this will allow you to prove congruency by asa. c. show that is segment ab is perpendicular to segment ad. this will allow you to prove congruence by sas. d. none of the above.

Answers: 2

Answer

You know the right answer?

PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS Triangle ABC is shown below:

Triangle AB...

Questions