Cyan L.

asked • 08/21/20

supply the missing reasons for the following proof

diagram explanation:


im going to try my best to explain the diagram but i hope you can understand it because i can’t add pictures.



there is a horizontal line that is intersected by 2 diagonal lines on opposite sides connecting underneath the horizontal line and making a triangle. this made 4 labeled angles (9 angles total). angle 1 and angle 2 are supplementary (angle 1 is acute) on the left side. angle 3 and angle 4 are vertical angles on the right side (angle 4 is in the same place as angle 1 just in the opposite side) angle 1 = angle 4 and angle 3.


fill in for the question marks:


Given: angle 2 is supplementary to angle 4

Prove: angle 1 = angle 3


statement:

1.) angle 2 and angle 4 are supplementary

reason:

1.) given

statement:

2.) angle 2 and angle 1 are supplementary

reason:

2.) supplementary angles add up to 180°

statement:

3.) angle 1 = angle 4

reason:

3.) ?

statement:

4.) angle 3 = angle 4

reason:

4.) vertical angles are congruent

statement:

5.) angle 1 = angle 3

reason:

5.) ?


again i hope i explained it well enough (maybe it would help to draw it out as you read it)

2 Answers By Expert Tutors

By:

Karissa F. answered • 08/21/20

Tutor
5 (1)

Experienced High School Math Tutor

Cyan L.

thank you :))
Report

08/21/20

Karissa F.

No problem! Let me know if you need any more help. I am available for tutoring :)
Report

08/21/20

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