Question

Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p

In which step did the student first make a mistake and how can it be corrected?

Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

Answer 1

@Ms-Brains

Answer 2

Whoa. I've never worked on problems like these

Answer 3

lol

Answer 4

do you know anyone smart? lol

Answer 5

@phi @pooja195

Answer 6

Yes! xD I'll tag them.

Answer 7

ok ;)

Answer 8

@Directrix @Gabylovesyou Maybe one of you two could help out Jeannie.

Answer 9

@sleepyjess @StudyGurl14

Answer 10

Oh! Sorry. I tagged those guys, but I'm not sure when they will be on. Are you taking a quiz?

Answer 11

yea kinda like that its all right ill just tag and tag until someone comes lol XD

Answer 12

If you are in k12, I might be able to help you.. What's the name of the math course you are taking?

Answer 13

im in flvs :'(

Answer 14

Awh man. :'( I'm sorry

Answer 15

its allright ;D

Answer 16

@phi can you help me?

Answer 17

do you know a straight line is 180 degrees?

Answer 18

yes

Answer 19

do you see angle O and angle P ?
do they make a line ?

Answer 20

yes they do so both angles would equal 180 degrees right?

Answer 21

in other words, if you faced toward B and then turn to face point A you would have turned angle O. then turn the amount of angle P. you would be looking backwards. that is 180 degrees

Answer 22

wait what does the turn mean?

Answer 23

an angle is how much you turn.
for example if you look toward point A, and turn 180 degree you would be facing in the other direction.

Answer 24

oh ok

Answer 25

In this problem, if you look at point B and turn to look at point A in the picture, you turned "angle O". if you then turn the amount angle P, you would be looking in the opposite direction from point B

anyway, we say angle O + angle P= 180 degrees

Answer 26

when two angles add up to 180 we call the supplementary angles
(I guess you have to memorize that)

Answer 27

yea

Answer 28

so i guess it would be d

Answer 29

the idea is
<O + < P = 180

because they are supplementary (add up to a line)

line 2 in the proof does not say that, it says something that looks wrong.
I would choose d) as the answer

Answer 30

thx! i got it right!!!!!!!!!!!!! lol