Question

State the missing reasons in this flow proof.
Given: angle 5 = 40, angle 2 = 140.
Prove: a is parallel to b.

Statements:
angle 5 = 40 a. ____________.
angle 2 = 140 b. _____________.
angle 5 and angle 2 are supplementary angles c.________.
Angle 5 and angle 2 are same-side interior angles d._________.
a is a parallel to b e._______

Answer 1

(a) and (b) are given.
(c) definition of supplementary angles
(d) can't tell without looking at the diagram, but
(c) and (d) imply (e)

Answer 2

A. Given
B. Given
C. Consecutive interior angles theorem
D. Same-side interior angles theorem E. Proven

Im not sure if this is right, but this is what i put

Answer 3

A. Given
B: Given
C: Definition of supplementary angles
D: Definition of same side interior angles
E: converse of same side interior angles theorem