Question

Geometry Help Please

Answer 1

Given: Angles 2 and 5 are supplementary.

Prove: lines l and m are parallel.

Answer 2

what can u tell me about angle 2 and angle 3?

Answer 3

They are vertical angles

Answer 4

which means....???

Answer 5

they equal eachother

Answer 6

correct.... they are congruent...
now... what can you tell me about angle 5 and angle 3 then?

Answer 7

Same side interior angles so they equal 180

Answer 8

yes... and since same side interior angles are supplementary, isn't there a theorem that concludes that lines l and m are parallel?

Answer 9

im not sure.. I just have to unscramble the statements and justification. hold on ima post the link

Answer 10

http://learn.flvs.net/webdav/educator_geometry_v14/module09/09_05b_01/index.html

Answer 11

@dpaInc

Answer 12

yep.... the reason is not "same side interior angle ...." but it's "converse of same side interior...."

Answer 13

ok now what

Answer 14

did you look at the link all i have to do in unscamble the items

Answer 15

line l || line m = given
measure of angle 2 and angle 3 are congruent = vertical angle theorem
measure of angle 3 and measure of angle 5 equal 180 = Converse of same side interior angle theorem
measure of angle 2 and angle 5 equal 180 = substitution
angles 2 and 5 are supplementary = definition of supplementary angles
angles 3 and 5 are supplementary = definition of supplementary angles

Is this correct ?