Question

Given: Angles 2 and 5 are supplementary.

Prove: lines l and m are parallel.

Answer 1

Diagram?

Answer 2

yes

Answer 3

Where is it?

Answer 4

angle 2 equals angle 3 (vertically opposite angles)
so angle 3 and angle 5 are supplementary
so l is parallel to m ( as interior angles on same side of transversal are supplementary)

Answer 5

given ang 2 congruent to ang 5

1. ang 1 congruent to ang 2--colinear angle theorem
2 ang 5 congruent to ang 1--- transitive prop
3. lines are parallel--corresponding angles theorem

Answer 6

Statements
<2 and <5 are supplementary
<2 <3
<3 and <5 are supplementary
<2 + <5 =180°
<3 + <5 =180°
line l || line m
Reasons
Given
Vertical Angle Theorem
Converse of Same-Side Interior Angles Theorem
Definition of Supplementary Angles
Definition of Supplementary Angles
Substitution

Answer 7

unscramble

Answer 8

given goes with the 1st statement

Answer 9

vert ang th goes with the 2nd

Answer 10

substitution goes with the 3rd

Answer 11

def of supp angles goes with 4 and 5th

Answer 12

converse of same-side ..... goes with the last statement

Answer 13

so what is the answer