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)
Cyan L.
thank you :))08/21/20