Question

State the missing reasons in this flow proof.

Answer 1

chart

Answer 2

a-e

Answer 3

any one on?

Answer 4

ty

Answer 5

wait do you mean the statements? like angleABC because the reasons are already there

Answer 6

not sure thats why I'm confused

Answer 7

I'm don't know what they're asking for :S sorry

Answer 8

k

Answer 9

is this you the one needed help for?

Answer 10

yes

Answer 11

got it thanks

Answer 12

A)∠5 is an acute angle (40º)
B) ∠2 is an obtuse angle (140º)
C) ∠2 + ∠5 = 180° forms a supplementary angle. therefore, forms a straight line
D) If a transversal intersects two parallel lines, then the interior angles on the same side of the transversal are supplementary.
E) If a transversal intersects two lines and the interior angles on the same side of the transversal are supplementary, then the lines are parallel.

Answer 13

Not good at this, never learned it.

Answer 14

this is a little confusing as I compose it, but I am sure it somewhat makes sense:

∠2 is congruent to ∠1

since ∠2 and ∠5 forms a straight line or a supplementary angles (180º)
then ∠4 must be congruent to ∠1

and since ∠1 is congruent to ∠2
then ∠1 and ∠5 must also be supplementary angles, which proves that line a and b are parallel

Answer 15

a proof starts with whats 'Given'

so we can simply put the reason 'Given' for a and b.

Answer 16

similarly we wil be good if we just put fill the blanks c,d, and e wid approproate reasons i guess

Answer 17

rephrasing:
A) given ∠5 in line b is an acute angle (40º)
B) another given ∠2 in line a is an obtuse angle (140º)

you are right about filling out the blanks, but I am not sure if the sentences D and E are even appropriate to state

Answer 18

thanks for the guidance, @ganeshie8

Answer 19

:)

c, your reason is good : 'supplementary angles add up to 180'
d, we can simply fill wid : ' by Definition of same-side interior angles'
e, we can fill wid : 'by Converse of same-side interior angles theorem'